six times jasons collection of books and one-third of nathans collection add up to 134 books one-third of jasons collection and nathans entire collection add up to 31
1 answer:
6j + 1/3n = 134...multiply by 3....18j + n = 402 1/3j + n = 31....multiply by 3....j + 3n = 93 the multiplying by 3 is optional...I just did it because it is easier to work with equations when there are no fractions. 18j + n = 402....multiply by -3 j + 3n = 93 ---------------- -54j - 3n = - 1206 (result of multiplying by -3) j + 3n = 93 ----------------add -53j = - 1113 j = -1113/-53 j = 21 j + 3n = 93 21 + 3n = 93 3n = 93 - 21 3n = 72 n = 72/3 n = 24 so Jasons collection (j) consists of 21 books and Nathans collection (n) consists of 24 books
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