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Jack downloaded 10 songs and 2 books for $48, Jill downloade
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14 Jun 2018, 14:07
14 Jun 2018, 14:07
Expert Reply
00:00
Question Stats:
56% (01:51) correct
43% (01:48) wrong based on 41 sessions
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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?
(A) $14
(B) $20
(C) $28
(D) $29
(E) $30
(A) $14
(B) $20
(C) $28
(D) $29
(E) $30
Re: Jack downloaded 10 songs and 2 books for $48, Jill downloade
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05 Jul 2018, 01:34
05 Jul 2018, 01:34
Expert Reply
Explanation
The equations are 10s + 2b = 48 and 15s + b = 44. The easiest next move would be to solve the second equation for b:
\(b = 44 - 15s\)
Substitute that into the first equation:
\(10s + 2(44 - 15s) = 48\)
\(10s + 88 - 30s = 48\)
\(-20s + 88 = 48\)
\(-20s = -40\)
\(s = 2\)
Plug s = 2 back into either original equation to get that b = 14, and thus the two books that Jack bought cost $28.
Hence option C is correct!
The equations are 10s + 2b = 48 and 15s + b = 44. The easiest next move would be to solve the second equation for b:
\(b = 44 - 15s\)
Substitute that into the first equation:
\(10s + 2(44 - 15s) = 48\)
\(10s + 88 - 30s = 48\)
\(-20s + 88 = 48\)
\(-20s = -40\)
\(s = 2\)
Plug s = 2 back into either original equation to get that b = 14, and thus the two books that Jack bought cost $28.
Hence option C is correct!
gmatclubot
Re: Jack downloaded 10 songs and 2 books for $48, Jill downloade [#permalink]
05 Jul 2018, 01:34
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