题目

Jack downloaded 10 songs and 2 books for $48, Jill downloaded 15 songs and 1 book for $44. How much did Jack spend on books, if all songs are the same price and all books are the same price?


选项

A.

$14

B.

$20

C.

$28

D.

$29

E.

$30

解析

方程组为 10s + 2b = 48 和 15s + b = 44。最简单的下一步是从第二个方程解出 b: b = 44 - 15s 将其代入第一个方程: 10s + 2(44 - 15s) = 4810s + 88 - 30s = 48-20s + 88 = 48-20s = -40s = 2 将 s = 2 代回任意一个原方程,可得 b = 14,因此杰克买的两本书总价为 28 美元。 所以,选项 C 正确!
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