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# Jack downloaded 10 songs and 2 books for $48, Jill downloade  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: GMAT Club Legend Joined: 07 Jun 2014 Posts: 4722 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 91 Kudos [?]: 1630 [0], given: 390 Jack downloaded 10 songs and 2 books for$48, Jill downloade [#permalink]  14 Jun 2018, 14:07
Expert's post
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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 _________________ Sandy If you found this post useful, please let me know by pressing the Kudos Button Try our free Online GRE Test GMAT Club Legend Joined: 07 Jun 2014 Posts: 4722 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 91 Kudos [?]: 1630 [0], given: 390 Re: Jack downloaded 10 songs and 2 books for$48, Jill downloade [#permalink]  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 If you found this post useful, please let me know by pressing the Kudos Button Try our free Online GRE Test Re: Jack downloaded 10 songs and 2 books for$48, Jill downloade   [#permalink] 05 Jul 2018, 01:34
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