A store currently charges the same price for each towel that

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A store currently charges the same price for each towel that [#permalink]

27 Dec 2012, 05:47

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64% (03:20) correct

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A store currently charges the same price for each towel that it sells. If the current price of each towel were to be increased by $1, 10 fewer of the towels could be bought for $120, excluding sales tax. What is the current price of each towel?

(A) $ 1
(B) $ 2
(C) $ 3
(D) $ 4
(E) $12

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Re: A store currently charges the same price for each towel that [#permalink]

27 Dec 2012, 05:49

Walkabout wrote:

Let the current price be p and the # of towels sold at this price be n. Then we would have two equations:

pn=120 amd (p+1)(n-10)=120 at this point you can solve the system of equations for p (you'll get quadratic equation to solve) or try to substitute answer choices.

When substituting answer choices it's good to start with the middle value, so in our case $3. So, if p=3 then 3n=120 --> n=40 --> (3+1)(40-10)=4*30=120, so this answer works.

Answer: C.

Hope it helps.
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Re: A store currently charges the same price for each towel that [#permalink] 27 Dec 2012, 05:49

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A store currently charges the same price for each towel that

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A store currently charges the same price for each towel that

A store currently charges the same price for each towel that

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