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# PS WORD PROB gross profit

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Senior Manager
Joined: 30 May 2005
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PS WORD PROB gross profit [#permalink]  05 Jun 2005, 12:13
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.Hello
I am having trouble putting this into equation can anyone helps me plz thanks

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
Senior Manager
Joined: 17 May 2005
Posts: 272
Location: Auckland, New Zealand
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Re: PS WORD PROB gross profit [#permalink]  05 Jun 2005, 12:17
mandy wrote:
.Hello
I am having trouble putting this into equation can anyone helps me plz thanks

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

Profit per paperback is $2 and profit per hardcover is$3.
The total number of books sold is 120 which gives us the equation:
P + H = 120
The total profit is \$300, which gives us the equation:
2P + 3H = 300

if you solve the simultaneous equations, you get P=60 and H=60

Manager
Joined: 07 Mar 2005
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slightly different approach

3s + 4h = 420 Got 420 because (300+120).

s+h=120
SVP
Joined: 03 Jan 2005
Posts: 2250
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Re: PS WORD PROB gross profit [#permalink]  05 Jun 2005, 12:48
1) P+H=120
2) 3P-P + 4H -H= 300

2)=>2P+3H=300
1)=>3P+3H=360
=>P=60
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Re: PS WORD PROB gross profit   [#permalink] 05 Jun 2005, 12:48
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