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Jack downloaded 10 songs and 2 books for $48, Jill downloade

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4722
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1630 [0], given: 390

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Jack downloaded 10 songs and 2 books for $48, Jill downloade [#permalink] New post 14 Jun 2018, 14:07
Expert's post
00:00

Question Stats:

100% (00:38) correct 0% (00:00) wrong based on 3 sessions
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
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4722
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1630 [0], given: 390

CAT Tests
Re: Jack downloaded 10 songs and 2 books for $48, Jill downloade [#permalink] New post 05 Jul 2018, 01:34
Expert's post
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!
_________________

Sandy
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Re: Jack downloaded 10 songs and 2 books for $48, Jill downloade   [#permalink] 05 Jul 2018, 01:34
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Jack downloaded 10 songs and 2 books for $48, Jill downloade

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