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

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Manager
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A certain used-book dealer sells paperback books at 3 times [#permalink] New post 22 Mar 2006, 19:05
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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 [#permalink] New post 22 Mar 2006, 20:52
60

x + y = 120
3x + 4y = 420
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 [#permalink] New post 23 Mar 2006, 02:35
I agree with B. Backsolving works fine in this case:
60 paperback books ... 120$ profit
60 hardback books ..... 180$ profit
  [#permalink] 23 Mar 2006, 02:35
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A certain used-book dealer sells paperback books at 3 times

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