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# A certain used-book dealer sells paperback books at 3 times

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Manager
Joined: 09 Feb 2006
Posts: 129

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Location: New York, NY
A certain used-book dealer sells paperback books at 3 times [#permalink]

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22 Mar 2006, 20:05
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A certain used-book dealer sells paperback books at 3 times dealer's cost and hardback books at 4 times dealer's cost. Last week the dealer sold a total of 120 books, each of which had cost the dealer \$1. If the gross profit (sales revenue minus dealer's cost) on the sale of all of these books was \$300, how many of the books sold were paperbacks?
(A) 40
(B) 60
(C) 75
(D) 90
(E) 100

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Director
Joined: 24 Oct 2005
Posts: 572

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Location: NYC

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22 Mar 2006, 21:52
60

x + y = 120
3x + 4y = 420
_________________

Success is my only option, failure is not -- Eminem

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Manager
Joined: 09 Feb 2006
Posts: 90

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Location: Prague, CZ

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23 Mar 2006, 03:35
I agree with B. Backsolving works fine in this case:
60 paperback books ... 120\$ profit
60 hardback books ..... 180\$ profit

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23 Mar 2006, 03:35
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# A certain used-book dealer sells paperback books at 3 times

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