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",[579,1140,1142,1160],{"className":1141},[586],[579,1143,1145],{"className":1144},[590],[592,1146,1147],{"xmlns":594},[597,1148,1149,1157],{},[600,1150,1151],{},[603,1152,1153,1155],{},[606,1154,617],{},[610,1156,630],{},[672,1158,1159],{"encoding":674},"c_2",[579,1161,1163],{"className":1162,"ariaHidden":680},[679],[579,1164,1166,1169],{"className":1165},[684],[579,1167],{"className":1168,"style":806},[688],[579,1170,1172,1175],{"className":1171},[693],[579,1173,617],{"className":1174},[693,697],[579,1176,1178],{"className":1177},[701],[579,1179,1181,1201],{"className":1180},[705,706],[579,1182,1184,1198],{"className":1183},[710],[579,1185,1187],{"className":1186,"style":715},[714],[579,1188,1189,1192],{"style":718},[579,1190],{"className":1191,"style":723},[722],[579,1193,1195],{"className":1194},[727,728,729,730],[579,1196,630],{"className":1197},[693,730],[579,1199,738],{"className":1200},[737],[579,1202,1204],{"className":1203},[710],[579,1205,1207],{"className":1206,"style":745},[714],[579,1208],{},", und zwar näher an der Sorte, von der man mehr nimmt.",[564,1211,1212,1213,1216,1217,1219],{},"Für das ",[568,1214,1215],{},"Mischungsverhältnis"," gibt es das ",[568,1218,550],{},":",[579,1221,1223],{"className":1222},[582],[579,1224,1226,1293],{"className":1225},[586],[579,1227,1229],{"className":1228},[590],[592,1230,1231],{"xmlns":594,"display":595},[597,1232,1233,1290],{},[600,1234,1235,1241,1243,1249,1251,1253,1259,1262,1268,1270,1272,1274,1280,1282,1288],{},[603,1236,1237,1239],{},[606,1238,608],{},[610,1240,612],{},[621,1242,1219],{},[603,1244,1245,1247],{},[606,1246,608],{},[610,1248,630],{},[621,1250,639],{},[621,1252,643],{"stretchy":642},[603,1254,1255,1257],{},[606,1256,617],{},[610,1258,630],{},[621,1260,1261],{},"−",[603,1263,1264,1266],{},[606,1265,617],{},[606,1267,670],{},[621,1269,660],{"stretchy":642},[621,1271,1219],{},[621,1273,643],{"stretchy":642},[603,1275,1276,1278],{},[606,1277,617],{},[606,1279,670],{},[621,1281,1261],{},[603,1283,1284,1286],{},[606,1285,617],{},[610,1287,612],{},[621,1289,660],{"stretchy":642},[672,1291,1292],{"encoding":674},"m_1 : m_2 = (c_2 - c_M) : (c_M - c_1)",[579,1294,1296,1351,1406,1464,1522,1580],{"className":1295,"ariaHidden":680},[679],[579,1297,1299,1302,1342,1345,1348],{"className":1298},[684],[579,1300],{"className":1301,"style":806},[688],[579,1303,1305,1308],{"className":1304},[693],[579,1306,608],{"className":1307},[693,697],[579,1309,1311],{"className":1310},[701],[579,1312,1314,1334],{"className":1313},[705,706],[579,1315,1317,1331],{"className":1316},[710],[579,1318,1320],{"className":1319,"style":715},[714],[579,1321,1322,1325],{"style":718},[579,1323],{"className":1324,"style":723},[722],[579,1326,1328],{"className":1327},[727,728,729,730],[579,1329,612],{"className":1330},[693,730],[579,1332,738],{"className":1333},[737],[579,1335,1337],{"className":1336},[710],[579,1338,1340],{"className":1339,"style":745},[714],[579,1341],{},[579,1343],{"className":1344,"style":890},[791],[579,1346,1219],{"className":1347},[894],[579,1349],{"className":1350,"style":890},[791],[579,1352,1354,1357,1397,1400,1403],{"className":1353},[684],[579,1355],{"className":1356,"style":806},[688],[579,1358,1360,1363],{"className":1359},[693],[579,1361,608],{"className":1362},[693,697],[579,1364,1366],{"className":1365},[701],[579,1367,1369,1389],{"className":1368},[705,706],[579,1370,1372,1386],{"className":1371},[710],[579,1373,1375],{"className":1374,"style":715},[714],[579,1376,1377,1380],{"style":718},[579,1378],{"className":1379,"style":723},[722],[579,1381,1383],{"className":1382},[727,728,729,730],[579,1384,630],{"className":1385},[693,730],[579,1387,738],{"className":1388},[737],[579,1390,1392],{"className":1391},[710],[579,1393,1395],{"className":1394,"style":745},[714],[579,1396],{},[579,1398],{"className":1399,"style":890},[791],[579,1401,639],{"className":1402},[894],[579,1404],{"className":1405,"style":890},[791],[579,1407,1409,1412,1415,1455,1458,1461],{"className":1408},[684],[579,1410],{"className":1411,"style":904},[688],[579,1413,643],{"className":1414},[908],[579,1416,1418,1421],{"className":1417},[693],[579,1419,617],{"className":1420},[693,697],[579,1422,1424],{"className":1423},[701],[579,1425,1427,1447],{"className":1426},[705,706],[579,1428,1430,1444],{"className":1429},[710],[579,1431,1433],{"className":1432,"style":715},[714],[579,1434,1435,1438],{"style":718},[579,1436],{"className":1437,"style":723},[722],[579,1439,1441],{"className":1440},[727,728,729,730],[579,1442,630],{"className":1443},[693,730],[579,1445,738],{"className":1446},[737],[579,1448,1450],{"className":1449},[710],[579,1451,1453],{"className":1452,"style":745},[714],[579,1454],{},[579,1456],{"className":1457,"style":792},[791],[579,1459,1261],{"className":1460},[796],[579,1462],{"className":1463,"style":792},[791],[579,1465,1467,1470,1510,1513,1516,1519],{"className":1466},[684],[579,1468],{"className":1469,"style":904},[688],[579,1471,1473,1476],{"className":1472},[693],[579,1474,617],{"className":1475},[693,697],[579,1477,1479],{"className":1478},[701],[579,1480,1482,1502],{"className":1481},[705,706],[579,1483,1485,1499],{"className":1484},[710],[579,1486,1488],{"className":1487,"style":1041},[714],[579,1489,1490,1493],{"style":718},[579,1491],{"className":1492,"style":723},[722],[579,1494,1496],{"className":1495},[727,728,729,730],[579,1497,670],{"className":1498,"style":1053},[693,697,730],[579,1500,738],{"className":1501},[737],[579,1503,1505],{"className":1504},[710],[579,1506,1508],{"className":1507,"style":745},[714],[579,1509],{},[579,1511,660],{"className":1512},[1007],[579,1514],{"className":1515,"style":890},[791],[579,1517,1219],{"className":1518},[894],[579,1520],{"className":1521,"style":890},[791],[579,1523,1525,1528,1531,1571,1574,1577],{"className":1524},[684],[579,1526],{"className":1527,"style":904},[688],[579,1529,643],{"className":1530},[908],[579,1532,1534,1537],{"className":1533},[693],[579,1535,617],{"className":1536},[693,697],[579,1538,1540],{"className":1539},[701],[579,1541,1543,1563],{"className":1542},[705,706],[579,1544,1546,1560],{"className":1545},[710],[579,1547,1549],{"className":1548,"style":1041},[714],[579,1550,1551,1554],{"style":718},[579,1552],{"className":1553,"style":723},[722],[579,1555,1557],{"className":1556},[727,728,729,730],[579,1558,670],{"className":1559,"style":1053},[693,697,730],[579,1561,738],{"className":1562},[737],[579,1564,1566],{"className":1565},[710],[579,1567,1569],{"className":1568,"style":745},[714],[579,1570],{},[579,1572],{"className":1573,"style":792},[791],[579,1575,1261],{"className":1576},[796],[579,1578],{"className":1579,"style":792},[791],[579,1581,1583,1586,1626],{"className":1582},[684],[579,1584],{"className":1585,"style":904},[688],[579,1587,1589,1592],{"className":1588},[693],[579,1590,617],{"className":1591},[693,697],[579,1593,1595],{"className":1594},[701],[579,1596,1598,1618],{"className":1597},[705,706],[579,1599,1601,1615],{"className":1600},[710],[579,1602,1604],{"className":1603,"style":715},[714],[579,1605,1606,1609],{"style":718},[579,1607],{"className":1608,"style":723},[722],[579,1610,1612],{"className":1611},[727,728,729,730],[579,1613,612],{"className":1614},[693,730],[579,1616,738],{"className":1617},[737],[579,1619,1621],{"className":1620},[710],[579,1622,1624],{"className":1623,"style":745},[714],[579,1625],{},[579,1627,660],{"className":1628},[1007],[564,1630,1631,1632,1678],{},"Wasser zählt als Sorte mit dem Gehalt ",[579,1633,1635,1658],{"className":1634},[586],[579,1636,1638],{"className":1637},[590],[592,1639,1640],{"xmlns":594},[597,1641,1642,1655],{},[600,1643,1644,1647,1651],{},[610,1645,1646],{},"0",[1648,1649,1650],"mtext",{}," ",[606,1652,1654],{"mathvariant":1653},"normal","%",[672,1656,1657],{"encoding":674},"0\\,\\%",[579,1659,1661],{"className":1660,"ariaHidden":680},[679],[579,1662,1664,1668,1671,1675],{"className":1663},[684],[579,1665],{"className":1666,"style":1667},[688],"height:0.8056em;vertical-align:-0.0556em;",[579,1669,1646],{"className":1670},[693],[579,1672],{"className":1673,"style":1674},[791],"margin-right:0.1667em;",[579,1676,1654],{"className":1677},[693],".",[559,1680,1682],{"id":1681},"beispiele","Beispiele",[564,1684,1685,1731,1732,1772,1773,1816,1817,1857],{},[579,1686,1688,1708],{"className":1687},[586],[579,1689,1691],{"className":1690},[590],[592,1692,1693],{"xmlns":594},[597,1694,1695,1705],{},[600,1696,1697,1700,1702],{},[610,1698,1699],{},"300",[1648,1701,1650],{},[1648,1703,1704],{},"g",[672,1706,1707],{"encoding":674},"300\\,\\text{g}",[579,1709,1711],{"className":1710,"ariaHidden":680},[679],[579,1712,1714,1718,1721,1724],{"className":1713},[684],[579,1715],{"className":1716,"style":1717},[688],"height:0.8389em;vertical-align:-0.1944em;",[579,1719,1699],{"className":1720},[693],[579,1722],{"className":1723,"style":1674},[791],[579,1725,1728],{"className":1726},[693,1727],"text",[579,1729,1704],{"className":1730},[693]," Salzlösung mit ",[579,1733,1735,1754],{"className":1734},[586],[579,1736,1738],{"className":1737},[590],[592,1739,1740],{"xmlns":594},[597,1741,1742,1751],{},[600,1743,1744,1747,1749],{},[610,1745,1746],{},"10",[1648,1748,1650],{},[606,1750,1654],{"mathvariant":1653},[672,1752,1753],{"encoding":674},"10\\,\\%",[579,1755,1757],{"className":1756,"ariaHidden":680},[679],[579,1758,1760,1763,1766,1769],{"className":1759},[684],[579,1761],{"className":1762,"style":1667},[688],[579,1764,1746],{"className":1765},[693],[579,1767],{"className":1768,"style":1674},[791],[579,1770,1654],{"className":1771},[693]," Salz werden mit ",[579,1774,1776,1795],{"className":1775},[586],[579,1777,1779],{"className":1778},[590],[592,1780,1781],{"xmlns":594},[597,1782,1783,1792],{},[600,1784,1785,1788,1790],{},[610,1786,1787],{},"200",[1648,1789,1650],{},[1648,1791,1704],{},[672,1793,1794],{"encoding":674},"200\\,\\text{g}",[579,1796,1798],{"className":1797,"ariaHidden":680},[679],[579,1799,1801,1804,1807,1810],{"className":1800},[684],[579,1802],{"className":1803,"style":1717},[688],[579,1805,1787],{"className":1806},[693],[579,1808],{"className":1809,"style":1674},[791],[579,1811,1813],{"className":1812},[693,1727],[579,1814,1704],{"className":1815},[693]," Lösung mit ",[579,1818,1820,1839],{"className":1819},[586],[579,1821,1823],{"className":1822},[590],[592,1824,1825],{"xmlns":594},[597,1826,1827,1836],{},[600,1828,1829,1832,1834],{},[610,1830,1831],{},"25",[1648,1833,1650],{},[606,1835,1654],{"mathvariant":1653},[672,1837,1838],{"encoding":674},"25\\,\\%",[579,1840,1842],{"className":1841,"ariaHidden":680},[679],[579,1843,1845,1848,1851,1854],{"className":1844},[684],[579,1846],{"className":1847,"style":1667},[688],[579,1849,1831],{"className":1850},[693],[579,1852],{"className":1853,"style":1674},[791],[579,1855,1654],{"className":1856},[693]," Salz gemischt:",[579,1859,1861],{"className":1860},[582],[579,1862,1864,1926],{"className":1863},[586],[579,1865,1867],{"className":1866},[590],[592,1868,1869],{"xmlns":594,"display":595},[597,1870,1871,1923],{},[600,1872,1873,1879,1881,1908,1910,1918,1920],{},[603,1874,1875,1877],{},[606,1876,617],{},[606,1878,670],{},[621,1880,639],{},[1882,1883,1884,1900],"mfrac",{},[600,1885,1886,1888,1890,1892,1894,1896,1898],{},[610,1887,1699],{},[621,1889,663],{},[610,1891,1746],{},[621,1893,623],{},[610,1895,1787],{},[621,1897,663],{},[610,1899,1831],{},[600,1901,1902,1904,1906],{},[610,1903,1699],{},[621,1905,623],{},[610,1907,1787],{},[621,1909,639],{},[1882,1911,1912,1915],{},[610,1913,1914],{},"8000",[610,1916,1917],{},"500",[621,1919,639],{},[610,1921,1922],{},"16",[672,1924,1925],{"encoding":674},"c_M = \\frac{300 \\cdot 10 + 200 \\cdot 25}{300 + 200} = \\frac{8000}{500} = 16",[579,1927,1929,1984,2119,2198],{"className":1928,"ariaHidden":680},[679],[579,1930,1932,1935,1975,1978,1981],{"className":1931},[684],[579,1933],{"className":1934,"style":806},[688],[579,1936,1938,1941],{"className":1937},[693],[579,1939,617],{"className":1940},[693,697],[579,1942,1944],{"className":1943},[701],[579,1945,1947,1967],{"className":1946},[705,706],[579,1948,1950,1964],{"className":1949},[710],[579,1951,1953],{"className":1952,"style":1041},[714],[579,1954,1955,1958],{"style":718},[579,1956],{"className":1957,"style":723},[722],[579,1959,1961],{"className":1960},[727,728,729,730],[579,1962,670],{"className":1963,"style":1053},[693,697,730],[579,1965,738],{"className":1966},[737],[579,1968,1970],{"className":1969},[710],[579,1971,1973],{"className":1972,"style":745},[714],[579,1974],{},[579,1976],{"className":1977,"style":890},[791],[579,1979,639],{"className":1980},[894],[579,1982],{"className":1983,"style":890},[791],[579,1985,1987,1991,2110,2113,2116],{"className":1986},[684],[579,1988],{"className":1989,"style":1990},[688],"height:2.0908em;vertical-align:-0.7693em;",[579,1992,1994,1998,2107],{"className":1993},[693],[579,1995],{"className":1996},[908,1997],"nulldelimiter",[579,1999,2001],{"className":2000},[1882],[579,2002,2004,2098],{"className":2003},[705,706],[579,2005,2007,2095],{"className":2006},[710],[579,2008,2011,2036,2047],{"className":2009,"style":2010},[714],"height:1.3214em;",[579,2012,2014,2018],{"style":2013},"top:-2.314em;",[579,2015],{"className":2016,"style":2017},[722],"height:3em;",[579,2019,2021,2024,2027,2030,2033],{"className":2020},[693],[579,2022,1699],{"className":2023},[693],[579,2025],{"className":2026,"style":792},[791],[579,2028,623],{"className":2029},[796],[579,2031],{"className":2032,"style":792},[791],[579,2034,1787],{"className":2035},[693],[579,2037,2039,2042],{"style":2038},"top:-3.23em;",[579,2040],{"className":2041,"style":2017},[722],[579,2043],{"className":2044,"style":2046},[2045],"frac-line","border-bottom-width:0.04em;",[579,2048,2050,2053],{"style":2049},"top:-3.677em;",[579,2051],{"className":2052,"style":2017},[722],[579,2054,2056,2059,2062,2065,2068,2071,2074,2077,2080,2083,2086,2089,2092],{"className":2055},[693],[579,2057,1699],{"className":2058},[693],[579,2060],{"className":2061,"style":792},[791],[579,2063,663],{"className":2064},[796],[579,2066],{"className":2067,"style":792},[791],[579,2069,1746],{"className":2070},[693],[579,2072],{"className":2073,"style":792},[791],[579,2075,623],{"className":2076},[796],[579,2078],{"className":2079,"style":792},[791],[579,2081,1787],{"className":2082},[693],[579,2084],{"className":2085,"style":792},[791],[579,2087,663],{"className":2088},[796],[579,2090],{"className":2091,"style":792},[791],[579,2093,1831],{"className":2094},[693],[579,2096,738],{"className":2097},[737],[579,2099,2101],{"className":2100},[710],[579,2102,2105],{"className":2103,"style":2104},[714],"height:0.7693em;",[579,2106],{},[579,2108],{"className":2109},[1007,1997],[579,2111],{"className":2112,"style":890},[791],[579,2114,639],{"className":2115},[894],[579,2117],{"className":2118,"style":890},[791],[579,2120,2122,2126,2189,2192,2195],{"className":2121},[684],[579,2123],{"className":2124,"style":2125},[688],"height:2.0074em;vertical-align:-0.686em;",[579,2127,2129,2132,2186],{"className":2128},[693],[579,2130],{"className":2131},[908,1997],[579,2133,2135],{"className":2134},[1882],[579,2136,2138,2177],{"className":2137},[705,706],[579,2139,2141,2174],{"className":2140},[710],[579,2142,2144,2155,2163],{"className":2143,"style":2010},[714],[579,2145,2146,2149],{"style":2013},[579,2147],{"className":2148,"style":2017},[722],[579,2150,2152],{"className":2151},[693],[579,2153,1917],{"className":2154},[693],[579,2156,2157,2160],{"style":2038},[579,2158],{"className":2159,"style":2017},[722],[579,2161],{"className":2162,"style":2046},[2045],[579,2164,2165,2168],{"style":2049},[579,2166],{"className":2167,"style":2017},[722],[579,2169,2171],{"className":2170},[693],[579,2172,1914],{"className":2173},[693],[579,2175,738],{"className":2176},[737],[579,2178,2180],{"className":2179},[710],[579,2181,2184],{"className":2182,"style":2183},[714],"height:0.686em;",[579,2185],{},[579,2187],{"className":2188},[1007,1997],[579,2190],{"className":2191,"style":890},[791],[579,2193,639],{"className":2194},[894],[579,2196],{"className":2197,"style":890},[791],[579,2199,2201,2205],{"className":2200},[684],[579,2202],{"className":2203,"style":2204},[688],"height:0.6444em;",[579,2206,1922],{"className":2207},[693],[564,2209,2210,2211,2250,2251,1678],{},"Die Mischung hat ",[579,2212,2214,2232],{"className":2213},[586],[579,2215,2217],{"className":2216},[590],[592,2218,2219],{"xmlns":594},[597,2220,2221,2229],{},[600,2222,2223,2225,2227],{},[610,2224,1922],{},[1648,2226,1650],{},[606,2228,1654],{"mathvariant":1653},[672,2230,2231],{"encoding":674},"16\\,\\%",[579,2233,2235],{"className":2234,"ariaHidden":680},[679],[579,2236,2238,2241,2244,2247],{"className":2237},[684],[579,2239],{"className":2240,"style":1667},[688],[579,2242,1922],{"className":2243},[693],[579,2245],{"className":2246,"style":1674},[791],[579,2248,1654],{"className":2249},[693]," Salz. Probe mit dem Mischungskreuz: ",[579,2252,2254,2315],{"className":2253},[586],[579,2255,2257],{"className":2256},[590],[592,2258,2259],{"xmlns":594},[597,2260,2261,2312],{},[600,2262,2263,2265,2267,2269,2271,2273,2275,2277,2279,2281,2283,2285,2287,2290,2292,2295,2297,2300,2302,2304,2306,2308,2310],{},[621,2264,643],{"stretchy":642},[610,2266,1831],{},[621,2268,1261],{},[610,2270,1922],{},[621,2272,660],{"stretchy":642},[621,2274,1219],{},[621,2276,643],{"stretchy":642},[610,2278,1922],{},[621,2280,1261],{},[610,2282,1746],{},[621,2284,660],{"stretchy":642},[621,2286,639],{},[610,2288,2289],{},"9",[621,2291,1219],{},[610,2293,2294],{},"6",[621,2296,639],{},[610,2298,2299],{},"3",[621,2301,1219],{},[610,2303,630],{},[621,2305,639],{},[610,2307,1699],{},[621,2309,1219],{},[610,2311,1787],{},[672,2313,2314],{"encoding":674},"(25 - 16) : (16 - 10) = 9 : 6 = 3 : 2 = 300 : 200",[579,2316,2318,2339,2360,2381,2402,2420,2438,2456,2474,2492],{"className":2317,"ariaHidden":680},[679],[579,2319,2321,2324,2327,2330,2333,2336],{"className":2320},[684],[579,2322],{"className":2323,"style":904},[688],[579,2325,643],{"className":2326},[908],[579,2328,1831],{"className":2329},[693],[579,2331],{"className":2332,"style":792},[791],[579,2334,1261],{"className":2335},[796],[579,2337],{"className":2338,"style":792},[791],[579,2340,2342,2345,2348,2351,2354,2357],{"className":2341},[684],[579,2343],{"className":2344,"style":904},[688],[579,2346,1922],{"className":2347},[693],[579,2349,660],{"className":2350},[1007],[579,2352],{"className":2353,"style":890},[791],[579,2355,1219],{"className":2356},[894],[579,2358],{"className":2359,"style":890},[791],[579,2361,2363,2366,2369,2372,2375,2378],{"className":2362},[684],[579,2364],{"className":2365,"style":904},[688],[579,2367,643],{"className":2368},[908],[579,2370,1922],{"className":2371},[693],[579,2373],{"className":2374,"style":792},[791],[579,2376,1261],{"className":2377},[796],[579,2379],{"className":2380,"style":792},[791],[579,2382,2384,2387,2390,2393,2396,2399],{"className":2383},[684],[579,2385],{"className":2386,"style":904},[688],[579,2388,1746],{"className":2389},[693],[579,2391,660],{"className":2392},[1007],[579,2394],{"className":2395,"style":890},[791],[579,2397,639],{"className":2398},[894],[579,2400],{"className":2401,"style":890},[791],[579,2403,2405,2408,2411,2414,2417],{"className":2404},[684],[579,2406],{"className":2407,"style":2204},[688],[579,2409,2289],{"className":2410},[693],[579,2412],{"className":2413,"style":890},[791],[579,2415,1219],{"className":2416},[894],[579,2418],{"className":2419,"style":890},[791],[579,2421,2423,2426,2429,2432,2435],{"className":2422},[684],[579,2424],{"className":2425,"style":2204},[688],[579,2427,2294],{"className":2428},[693],[579,2430],{"className":2431,"style":890},[791],[579,2433,639],{"className":2434},[894],[579,2436],{"className":2437,"style":890},[791],[579,2439,2441,2444,2447,2450,2453],{"className":2440},[684],[579,2442],{"className":2443,"style":2204},[688],[579,2445,2299],{"className":2446},[693],[579,2448],{"className":2449,"style":890},[791],[579,2451,1219],{"className":2452},[894],[579,2454],{"className":2455,"style":890},[791],[579,2457,2459,2462,2465,2468,2471],{"className":2458},[684],[579,2460],{"className":2461,"style":2204},[688],[579,2463,630],{"className":2464},[693],[579,2466],{"className":2467,"style":890},[791],[579,2469,639],{"className":2470},[894],[579,2472],{"className":2473,"style":890},[791],[579,2475,2477,2480,2483,2486,2489],{"className":2476},[684],[579,2478],{"className":2479,"style":2204},[688],[579,2481,1699],{"className":2482},[693],[579,2484],{"className":2485,"style":890},[791],[579,2487,1219],{"className":2488},[894],[579,2490],{"className":2491,"style":890},[791],[579,2493,2495,2498],{"className":2494},[684],[579,2496],{"className":2497,"style":2204},[688],[579,2499,1787],{"className":2500},[693],[564,2502,2503,2504,2548,2549,2578,2579,2548,2621,2650],{},"Für eine Kaffeemischung nimmt man ",[579,2505,2507,2526],{"className":2506},[586],[579,2508,2510],{"className":2509},[590],[592,2511,2512],{"xmlns":594},[597,2513,2514,2523],{},[600,2515,2516,2518,2520],{},[610,2517,2299],{},[1648,2519,1650],{},[1648,2521,2522],{},"kg",[672,2524,2525],{"encoding":674},"3\\,\\text{kg}",[579,2527,2529],{"className":2528,"ariaHidden":680},[679],[579,2530,2532,2536,2539,2542],{"className":2531},[684],[579,2533],{"className":2534,"style":2535},[688],"height:0.8889em;vertical-align:-0.1944em;",[579,2537,2299],{"className":2538},[693],[579,2540],{"className":2541,"style":1674},[791],[579,2543,2545],{"className":2544},[693,1727],[579,2546,2522],{"className":2547},[693]," zu ",[579,2550,2552,2566],{"className":2551},[586],[579,2553,2555],{"className":2554},[590],[592,2556,2557],{"xmlns":594},[597,2558,2559,2564],{},[600,2560,2561],{},[610,2562,2563],{},"12",[672,2565,2563],{"encoding":674},[579,2567,2569],{"className":2568,"ariaHidden":680},[679],[579,2570,2572,2575],{"className":2571},[684],[579,2573],{"className":2574,"style":2204},[688],[579,2576,2563],{"className":2577},[693]," € pro kg und ",[579,2580,2582,2600],{"className":2581},[586],[579,2583,2585],{"className":2584},[590],[592,2586,2587],{"xmlns":594},[597,2588,2589,2597],{},[600,2590,2591,2593,2595],{},[610,2592,630],{},[1648,2594,1650],{},[1648,2596,2522],{},[672,2598,2599],{"encoding":674},"2\\,\\text{kg}",[579,2601,2603],{"className":2602,"ariaHidden":680},[679],[579,2604,2606,2609,2612,2615],{"className":2605},[684],[579,2607],{"className":2608,"style":2535},[688],[579,2610,630],{"className":2611},[693],[579,2613],{"className":2614,"style":1674},[791],[579,2616,2618],{"className":2617},[693,1727],[579,2619,2522],{"className":2620},[693],[579,2622,2624,2638],{"className":2623},[586],[579,2625,2627],{"className":2626},[590],[592,2628,2629],{"xmlns":594},[597,2630,2631,2636],{},[600,2632,2633],{},[610,2634,2635],{},"17",[672,2637,2635],{"encoding":674},[579,2639,2641],{"className":2640,"ariaHidden":680},[679],[579,2642,2644,2647],{"className":2643},[684],[579,2645],{"className":2646,"style":2204},[688],[579,2648,2635],{"className":2649},[693]," € pro kg:",[579,2652,2654],{"className":2653},[582],[579,2655,2657,2718],{"className":2656},[586],[579,2658,2660],{"className":2659},[590],[592,2661,2662],{"xmlns":594,"display":595},[597,2663,2664,2715],{},[600,2665,2666,2672,2674,2700,2702,2710,2712],{},[603,2667,2668,2670],{},[606,2669,617],{},[606,2671,670],{},[621,2673,639],{},[1882,2675,2676,2692],{},[600,2677,2678,2680,2682,2684,2686,2688,2690],{},[610,2679,2299],{},[621,2681,663],{},[610,2683,2563],{},[621,2685,623],{},[610,2687,630],{},[621,2689,663],{},[610,2691,2635],{},[600,2693,2694,2696,2698],{},[610,2695,2299],{},[621,2697,623],{},[610,2699,630],{},[621,2701,639],{},[1882,2703,2704,2707],{},[610,2705,2706],{},"70",[610,2708,2709],{},"5",[621,2711,639],{},[610,2713,2714],{},"14",[672,2716,2717],{"encoding":674},"c_M = \\frac{3 \\cdot 12 + 2 \\cdot 17}{3 + 2} = \\frac{70}{5} = 14",[579,2719,2721,2776,2901,2978],{"className":2720,"ariaHidden":680},[679],[579,2722,2724,2727,2767,2770,2773],{"className":2723},[684],[579,2725],{"className":2726,"style":806},[688],[579,2728,2730,2733],{"className":2729},[693],[579,2731,617],{"className":2732},[693,697],[579,2734,2736],{"className":2735},[701],[579,2737,2739,2759],{"className":2738},[705,706],[579,2740,2742,2756],{"className":2741},[710],[579,2743,2745],{"className":2744,"style":1041},[714],[579,2746,2747,2750],{"style":718},[579,2748],{"className":2749,"style":723},[722],[579,2751,2753],{"className":2752},[727,728,729,730],[579,2754,670],{"className":2755,"style":1053},[693,697,730],[579,2757,738],{"className":2758},[737],[579,2760,2762],{"className":2761},[710],[579,2763,2765],{"className":2764,"style":745},[714],[579,2766],{},[579,2768],{"className":2769,"style":890},[791],[579,2771,639],{"className":2772},[894],[579,2774],{"className":2775,"style":890},[791],[579,2777,2779,2782,2892,2895,2898],{"className":2778},[684],[579,2780],{"className":2781,"style":1990},[688],[579,2783,2785,2788,2889],{"className":2784},[693],[579,2786],{"className":2787},[908,1997],[579,2789,2791],{"className":2790},[1882],[579,2792,2794,2881],{"className":2793},[705,706],[579,2795,2797,2878],{"className":2796},[710],[579,2798,2800,2823,2831],{"className":2799,"style":2010},[714],[579,2801,2802,2805],{"style":2013},[579,2803],{"className":2804,"style":2017},[722],[579,2806,2808,2811,2814,2817,2820],{"className":2807},[693],[579,2809,2299],{"className":2810},[693],[579,2812],{"className":2813,"style":792},[791],[579,2815,623],{"className":2816},[796],[579,2818],{"className":2819,"style":792},[791],[579,2821,630],{"className":2822},[693],[579,2824,2825,2828],{"style":2038},[579,2826],{"className":2827,"style":2017},[722],[579,2829],{"className":2830,"style":2046},[2045],[579,2832,2833,2836],{"style":2049},[579,2834],{"className":2835,"style":2017},[722],[579,2837,2839,2842,2845,2848,2851,2854,2857,2860,2863,2866,2869,2872,2875],{"className":2838},[693],[579,2840,2299],{"className":2841},[693],[579,2843],{"className":2844,"style":792},[791],[579,2846,663],{"className":2847},[796],[579,2849],{"className":2850,"style":792},[791],[579,2852,2563],{"className":2853},[693],[579,2855],{"className":2856,"style":792},[791],[579,2858,623],{"className":2859},[796],[579,2861],{"className":2862,"style":792},[791],[579,2864,630],{"className":2865},[693],[579,2867],{"className":2868,"style":792},[791],[579,2870,663],{"className":2871},[796],[579,2873],{"className":2874,"style":792},[791],[579,2876,2635],{"className":2877},[693],[579,2879,738],{"className":2880},[737],[579,2882,2884],{"className":2883},[710],[579,2885,2887],{"className":2886,"style":2104},[714],[579,2888],{},[579,2890],{"className":2891},[1007,1997],[579,2893],{"className":2894,"style":890},[791],[579,2896,639],{"className":2897},[894],[579,2899],{"className":2900,"style":890},[791],[579,2902,2904,2907,2969,2972,2975],{"className":2903},[684],[579,2905],{"className":2906,"style":2125},[688],[579,2908,2910,2913,2966],{"className":2909},[693],[579,2911],{"className":2912},[908,1997],[579,2914,2916],{"className":2915},[1882],[579,2917,2919,2958],{"className":2918},[705,706],[579,2920,2922,2955],{"className":2921},[710],[579,2923,2925,2936,2944],{"className":2924,"style":2010},[714],[579,2926,2927,2930],{"style":2013},[579,2928],{"className":2929,"style":2017},[722],[579,2931,2933],{"className":2932},[693],[579,2934,2709],{"className":2935},[693],[579,2937,2938,2941],{"style":2038},[579,2939],{"className":2940,"style":2017},[722],[579,2942],{"className":2943,"style":2046},[2045],[579,2945,2946,2949],{"style":2049},[579,2947],{"className":2948,"style":2017},[722],[579,2950,2952],{"className":2951},[693],[579,2953,2706],{"className":2954},[693],[579,2956,738],{"className":2957},[737],[579,2959,2961],{"className":2960},[710],[579,2962,2964],{"className":2963,"style":2183},[714],[579,2965],{},[579,2967],{"className":2968},[1007,1997],[579,2970],{"className":2971,"style":890},[791],[579,2973,639],{"className":2974},[894],[579,2976],{"className":2977,"style":890},[791],[579,2979,2981,2984],{"className":2980},[684],[579,2982],{"className":2983,"style":2204},[688],[579,2985,2714],{"className":2986},[693],[564,2988,2989,2990,3018],{},"Die Mischung kostet ",[579,2991,2993,3006],{"className":2992},[586],[579,2994,2996],{"className":2995},[590],[592,2997,2998],{"xmlns":594},[597,2999,3000,3004],{},[600,3001,3002],{},[610,3003,2714],{},[672,3005,2714],{"encoding":674},[579,3007,3009],{"className":3008,"ariaHidden":680},[679],[579,3010,3012,3015],{"className":3011},[684],[579,3013],{"className":3014,"style":2204},[688],[579,3016,2714],{"className":3017},[693]," € pro kg.",[564,3020,3021,3022,3067,3068,3108,3109,3147,3148,3178],{},"Verdünnen: ",[579,3023,3025,3045],{"className":3024},[586],[579,3026,3028],{"className":3027},[590],[592,3029,3030],{"xmlns":594},[597,3031,3032,3042],{},[600,3033,3034,3037,3039],{},[610,3035,3036],{},"400",[1648,3038,1650],{},[1648,3040,3041],{},"ml",[672,3043,3044],{"encoding":674},"400\\,\\text{ml}",[579,3046,3048],{"className":3047,"ariaHidden":680},[679],[579,3049,3051,3055,3058,3061],{"className":3050},[684],[579,3052],{"className":3053,"style":3054},[688],"height:0.6944em;",[579,3056,3036],{"className":3057},[693],[579,3059],{"className":3060,"style":1674},[791],[579,3062,3064],{"className":3063},[693,1727],[579,3065,3041],{"className":3066},[693]," Sirup mit ",[579,3069,3071,3090],{"className":3070},[586],[579,3072,3074],{"className":3073},[590],[592,3075,3076],{"xmlns":594},[597,3077,3078,3087],{},[600,3079,3080,3083,3085],{},[610,3081,3082],{},"40",[1648,3084,1650],{},[606,3086,1654],{"mathvariant":1653},[672,3088,3089],{"encoding":674},"40\\,\\%",[579,3091,3093],{"className":3092,"ariaHidden":680},[679],[579,3094,3096,3099,3102,3105],{"className":3095},[684],[579,3097],{"className":3098,"style":1667},[688],[579,3100,3082],{"className":3101},[693],[579,3103],{"className":3104,"style":1674},[791],[579,3106,1654],{"className":3107},[693]," Fruchtanteil sollen mit Wasser auf ",[579,3110,3112,3129],{"className":3111},[586],[579,3113,3115],{"className":3114},[590],[592,3116,3117],{"xmlns":594},[597,3118,3119,3127],{},[600,3120,3121,3123,3125],{},[610,3122,1831],{},[1648,3124,1650],{},[606,3126,1654],{"mathvariant":1653},[672,3128,1838],{"encoding":674},[579,3130,3132],{"className":3131,"ariaHidden":680},[679],[579,3133,3135,3138,3141,3144],{"className":3134},[684],[579,3136],{"className":3137,"style":1667},[688],[579,3139,1831],{"className":3140},[693],[579,3142],{"className":3143,"style":1674},[791],[579,3145,1654],{"className":3146},[693]," verdünnt werden. Mit ",[579,3149,3151,3165],{"className":3150},[586],[579,3152,3154],{"className":3153},[590],[592,3155,3156],{"xmlns":594},[597,3157,3158,3163],{},[600,3159,3160],{},[606,3161,3162],{},"x",[672,3164,3162],{"encoding":674},[579,3166,3168],{"className":3167,"ariaHidden":680},[679],[579,3169,3171,3175],{"className":3170},[684],[579,3172],{"className":3173,"style":3174},[688],"height:0.4306em;",[579,3176,3162],{"className":3177},[693,697]," ml Wasser gilt",[579,3180,3182],{"className":3181},[582],[579,3183,3185,3269],{"className":3184},[586],[579,3186,3188],{"className":3187},[590],[592,3189,3190],{"xmlns":594,"display":595},[597,3191,3192,3266],{},[600,3193,3194,3196,3198,3200,3202,3204,3206,3208,3210,3212,3214,3216,3218,3220,3222,3224,3227,3230,3232,3234,3236,3239,3241,3243,3245,3247,3249,3251,3253,3255,3257,3259,3261,3263],{},[610,3195,3036],{},[621,3197,663],{},[610,3199,3082],{},[621,3201,623],{},[606,3203,3162],{},[621,3205,663],{},[610,3207,1646],{},[621,3209,639],{},[621,3211,643],{"stretchy":642},[610,3213,3036],{},[621,3215,623],{},[606,3217,3162],{},[621,3219,660],{"stretchy":642},[621,3221,663],{},[610,3223,1831],{},[791,3225],{"width":3226},"1em",[621,3228,3229],{},"⇒",[791,3231],{"width":3226},[610,3233,1922],{},[1648,3235,1650],{},[610,3237,3238],{},"000",[621,3240,639],{},[610,3242,1746],{},[1648,3244,1650],{},[610,3246,3238],{},[621,3248,623],{},[610,3250,1831],{},[606,3252,3162],{},[791,3254],{"width":3226},[621,3256,3229],{},[791,3258],{"width":3226},[606,3260,3162],{},[621,3262,639],{},[610,3264,3265],{},"240",[672,3267,3268],{"encoding":674},"400 \\cdot 40 + x \\cdot 0 = (400 + x) \\cdot 25 \\quad\\Rightarrow\\quad 16\\,000 = 10\\,000 + 25x \\quad\\Rightarrow\\quad x = 240",[579,3270,3272,3290,3309,3328,3346,3367,3388,3413,3437,3461,3488,3506],{"className":3271,"ariaHidden":680},[679],[579,3273,3275,3278,3281,3284,3287],{"className":3274},[684],[579,3276],{"className":3277,"style":2204},[688],[579,3279,3036],{"className":3280},[693],[579,3282],{"className":3283,"style":792},[791],[579,3285,663],{"className":3286},[796],[579,3288],{"className":3289,"style":792},[791],[579,3291,3293,3297,3300,3303,3306],{"className":3292},[684],[579,3294],{"className":3295,"style":3296},[688],"height:0.7278em;vertical-align:-0.0833em;",[579,3298,3082],{"className":3299},[693],[579,3301],{"className":3302,"style":792},[791],[579,3304,623],{"className":3305},[796],[579,3307],{"className":3308,"style":792},[791],[579,3310,3312,3316,3319,3322,3325],{"className":3311},[684],[579,3313],{"className":3314,"style":3315},[688],"height:0.4445em;",[579,3317,3162],{"className":3318},[693,697],[579,3320],{"className":3321,"style":792},[791],[579,3323,663],{"className":3324},[796],[579,3326],{"className":3327,"style":792},[791],[579,3329,3331,3334,3337,3340,3343],{"className":3330},[684],[579,3332],{"className":3333,"style":2204},[688],[579,3335,1646],{"className":3336},[693],[579,3338],{"className":3339,"style":890},[791],[579,3341,639],{"className":3342},[894],[579,3344],{"className":3345,"style":890},[791],[579,3347,3349,3352,3355,3358,3361,3364],{"className":3348},[684],[579,3350],{"className":3351,"style":904},[688],[579,3353,643],{"className":3354},[908],[579,3356,3036],{"className":3357},[693],[579,3359],{"className":3360,"style":792},[791],[579,3362,623],{"className":3363},[796],[579,3365],{"className":3366,"style":792},[791],[579,3368,3370,3373,3376,3379,3382,3385],{"className":3369},[684],[579,3371],{"className":3372,"style":904},[688],[579,3374,3162],{"className":3375},[693,697],[579,3377,660],{"className":3378},[1007],[579,3380],{"className":3381,"style":792},[791],[579,3383,663],{"className":3384},[796],[579,3386],{"className":3387,"style":792},[791],[579,3389,3391,3394,3397,3401,3404,3407,3410],{"className":3390},[684],[579,3392],{"className":3393,"style":2204},[688],[579,3395,1831],{"className":3396},[693],[579,3398],{"className":3399,"style":3400},[791],"margin-right:1em;",[579,3402],{"className":3403,"style":890},[791],[579,3405,3229],{"className":3406},[894],[579,3408],{"className":3409,"style":3400},[791],[579,3411],{"className":3412,"style":890},[791],[579,3414,3416,3419,3422,3425,3428,3431,3434],{"className":3415},[684],[579,3417],{"className":3418,"style":2204},[688],[579,3420,1922],{"className":3421},[693],[579,3423],{"className":3424,"style":1674},[791],[579,3426,3238],{"className":3427},[693],[579,3429],{"className":3430,"style":890},[791],[579,3432,639],{"className":3433},[894],[579,3435],{"className":3436,"style":890},[791],[579,3438,3440,3443,3446,3449,3452,3455,3458],{"className":3439},[684],[579,3441],{"className":3442,"style":3296},[688],[579,3444,1746],{"className":3445},[693],[579,3447],{"className":3448,"style":1674},[791],[579,3450,3238],{"className":3451},[693],[579,3453],{"className":3454,"style":792},[791],[579,3456,623],{"className":3457},[796],[579,3459],{"className":3460,"style":792},[791],[579,3462,3464,3467,3470,3473,3476,3479,3482,3485],{"className":3463},[684],[579,3465],{"className":3466,"style":2204},[688],[579,3468,1831],{"className":3469},[693],[579,3471,3162],{"className":3472},[693,697],[579,3474],{"className":3475,"style":3400},[791],[579,3477],{"className":3478,"style":890},[791],[579,3480,3229],{"className":3481},[894],[579,3483],{"className":3484,"style":3400},[791],[579,3486],{"className":3487,"style":890},[791],[579,3489,3491,3494,3497,3500,3503],{"className":3490},[684],[579,3492],{"className":3493,"style":3174},[688],[579,3495,3162],{"className":3496},[693,697],[579,3498],{"className":3499,"style":890},[791],[579,3501,639],{"className":3502},[894],[579,3504],{"className":3505,"style":890},[791],[579,3507,3509,3512],{"className":3508},[684],[579,3510],{"className":3511,"style":2204},[688],[579,3513,3265],{"className":3514},[693],[564,3516,3517,3518,3560],{},"Man braucht ",[579,3519,3521,3539],{"className":3520},[586],[579,3522,3524],{"className":3523},[590],[592,3525,3526],{"xmlns":594},[597,3527,3528,3536],{},[600,3529,3530,3532,3534],{},[610,3531,3265],{},[1648,3533,1650],{},[1648,3535,3041],{},[672,3537,3538],{"encoding":674},"240\\,\\text{ml}",[579,3540,3542],{"className":3541,"ariaHidden":680},[679],[579,3543,3545,3548,3551,3554],{"className":3544},[684],[579,3546],{"className":3547,"style":3054},[688],[579,3549,3265],{"className":3550},[693],[579,3552],{"className":3553,"style":1674},[791],[579,3555,3557],{"className":3556},[693,1727],[579,3558,3041],{"className":3559},[693]," Wasser.",[559,3562,3564],{"id":3563},"typische-fehler","Typische Fehler",[3566,3567,3568,3771,3813],"ul",{},[3569,3570,3571,3572,3732,3733,1678],"li",{},"Einfach den Mittelwert der Gehalte nehmen: ",[579,3573,3575,3608],{"className":3574},[586],[579,3576,3578],{"className":3577},[590],[592,3579,3580],{"xmlns":594},[597,3581,3582,3605],{},[600,3583,3584,3596,3598,3601,3603],{},[1882,3585,3586,3594],{},[600,3587,3588,3590,3592],{},[610,3589,1746],{},[621,3591,623],{},[610,3593,1831],{},[610,3595,630],{},[621,3597,639],{},[610,3599,3600],{},"17,5",[1648,3602,1650],{},[606,3604,1654],{"mathvariant":1653},[672,3606,3607],{"encoding":674},"\\frac{10 + 25}{2} = 17{,}5\\,\\%",[579,3609,3611,3705],{"className":3610,"ariaHidden":680},[679],[579,3612,3614,3618,3696,3699,3702],{"className":3613},[684],[579,3615],{"className":3616,"style":3617},[688],"height:1.1901em;vertical-align:-0.345em;",[579,3619,3621,3624,3693],{"className":3620},[693],[579,3622],{"className":3623},[908,1997],[579,3625,3627],{"className":3626},[1882],[579,3628,3630,3684],{"className":3629},[705,706],[579,3631,3633,3681],{"className":3632},[710],[579,3634,3637,3652,3660],{"className":3635,"style":3636},[714],"height:0.8451em;",[579,3638,3640,3643],{"style":3639},"top:-2.655em;",[579,3641],{"className":3642,"style":2017},[722],[579,3644,3646],{"className":3645},[727,728,729,730],[579,3647,3649],{"className":3648},[693,730],[579,3650,630],{"className":3651},[693,730],[579,3653,3654,3657],{"style":2038},[579,3655],{"className":3656,"style":2017},[722],[579,3658],{"className":3659,"style":2046},[2045],[579,3661,3663,3666],{"style":3662},"top:-3.394em;",[579,3664],{"className":3665,"style":2017},[722],[579,3667,3669],{"className":3668},[727,728,729,730],[579,3670,3672,3675,3678],{"className":3671},[693,730],[579,3673,1746],{"className":3674},[693,730],[579,3676,623],{"className":3677},[796,730],[579,3679,1831],{"className":3680},[693,730],[579,3682,738],{"className":3683},[737],[579,3685,3687],{"className":3686},[710],[579,3688,3691],{"className":3689,"style":3690},[714],"height:0.345em;",[579,3692],{},[579,3694],{"className":3695},[1007,1997],[579,3697],{"className":3698,"style":890},[791],[579,3700,639],{"className":3701},[894],[579,3703],{"className":3704,"style":890},[791],[579,3706,3708,3712,3715,3723,3726,3729],{"className":3707},[684],[579,3709],{"className":3710,"style":3711},[688],"height:0.9444em;vertical-align:-0.1944em;",[579,3713,2635],{"className":3714},[693],[579,3716,3718],{"className":3717},[693],[579,3719,3722],{"className":3720},[3721],"mpunct",",",[579,3724,2709],{"className":3725},[693],[579,3727],{"className":3728,"style":1674},[791],[579,3730,1654],{"className":3731},[693]," stimmt nur bei gleichen Mengen. Im ersten Beispiel sind es ",[579,3734,3736,3753],{"className":3735},[586],[579,3737,3739],{"className":3738},[590],[592,3740,3741],{"xmlns":594},[597,3742,3743,3751],{},[600,3744,3745,3747,3749],{},[610,3746,1922],{},[1648,3748,1650],{},[606,3750,1654],{"mathvariant":1653},[672,3752,2231],{"encoding":674},[579,3754,3756],{"className":3755,"ariaHidden":680},[679],[579,3757,3759,3762,3765,3768],{"className":3758},[684],[579,3760],{"className":3761,"style":1667},[688],[579,3763,1922],{"className":3764},[693],[579,3766],{"className":3767,"style":1674},[791],[579,3769,1654],{"className":3770},[693],[3569,3772,3773,3774,3812],{},"Beim Verdünnen das Wasser vergessen oder ihm einen Gehalt geben. Wasser hat ",[579,3775,3777,3794],{"className":3776},[586],[579,3778,3780],{"className":3779},[590],[592,3781,3782],{"xmlns":594},[597,3783,3784,3792],{},[600,3785,3786,3788,3790],{},[610,3787,1646],{},[1648,3789,1650],{},[606,3791,1654],{"mathvariant":1653},[672,3793,1657],{"encoding":674},[579,3795,3797],{"className":3796,"ariaHidden":680},[679],[579,3798,3800,3803,3806,3809],{"className":3799},[684],[579,3801],{"className":3802,"style":1667},[688],[579,3804,1646],{"className":3805},[693],[579,3807],{"className":3808,"style":1674},[791],[579,3810,1654],{"className":3811},[693],", erhöht aber die Gesamtmenge.",[3569,3814,3815],{},"Die Formel bei Flüssigkeiten anwenden, deren Volumen sich beim Mischen ändert, etwa Alkohol und Wasser. Dort rechnet man mit Massen statt mit Volumen.",{"title":3817,"searchDepth":3818,"depth":3818,"links":3819},"",2,[3820,3821,3822],{"id":561,"depth":3818,"text":562},{"id":1681,"depth":3818,"text":1682},{"id":3563,"depth":3818,"text":3564},[3824,3827,3834,3836,3838,3841,3843,3846,3848,3850],{"lhs":3825,"rhs":3826},"m1*((m1*c1 + m2*c2)\u002F(m1 + m2) - c1)","m2*(c2 - (m1*c1 + m2*c2)\u002F(m1 + m2))",{"lhs":3828,"rhs":1922,"where":3829},"(m1*c1 + m2*c2)\u002F(m1 + m2)",{"m1":3830,"c1":3831,"m2":3832,"c2":3833},300,10,200,25,{"lhs":3835,"rhs":1914},"300*10 + 200*25",{"lhs":3837,"rhs":1922},"8000\u002F500",{"lhs":3839,"rhs":3840},"(25 - 16)\u002F(16 - 10)","300\u002F200",{"lhs":3842,"rhs":2714},"(3*12 + 2*17)\u002F(3 + 2)",{"lhs":3844,"rhs":3845},"400*40","16000",{"lhs":3847,"rhs":3265},"(16000 - 400*25)\u002F25",{"lhs":3849,"rhs":1831},"400*40\u002F(400 + 240)",{"lhs":3851,"rhs":3852},"(10 + 25)\u002F2","17.5","m_1, m_2 \\geq 0,\\ m_1 + m_2 > 0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>m\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmsub>\u003Cmi>m\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>≥\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">m_1, m_2 \\geq 0,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8304em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">≥\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan 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class=\"mord\">\u003Cspan class=\"mord mathnormal\">m\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">>\u003C\u002Fspan>\u003Cspan class=\"mspace\" 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