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

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Eternal Intern
Joined: 07 Jun 2003
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Location: Lone Star State
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A certain used-book dealer sells paperback books at 3 times [#permalink]  26 Jul 2003, 14:24
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. 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?
Manager
Joined: 24 Jun 2003
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Location: Moscow
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3X+4Y-120=300
X+Y=120

To variables - two equations. Solve. X=60, Y=60

A: 60
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KL

Intern
Joined: 27 Apr 2003
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p paperbacks
h hardcover

profit on paperbacks = 2p
profit on hardcover = 3h

p + h = 120
2p + 3h = 300

p = 60
h = 60
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