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Store sells two types of pens

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by talaangoshtari » Thu May 14, 2015 11:47 am
A certain store sells two types of pens: one type for $2 per pen and the other type for $3 per pen. If a customer can spend up to $25 to buy pens at the store and there is no sales tax, what is the greatest number of pens the customer can buy?
A.9
B.10
C.11
D.12
E.20
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by GMATGuruNY » Thu May 14, 2015 11:54 am
talaangoshtari wrote:A certain store sells two types of pens: one type for $2 per pen and the other type for $3 per pen. If a customer can spend up to $25 to buy pens at the store and there is no sales tax, what is the greatest number of pens the customer can buy?
A.9
B.10
C.11
D.12
E.20
We can PLUG IN THE ANSWERS.
Since the question stem asks for the GREATEST number of pens that can be purchased for $25, start with the biggest answer choice.

E: 20
Since the price of each cheaper pen = $2, and 20*2 = $40, it is not possible to buy 20 pens.
Eliminate E.

D: 12
Since the price of each cheaper pen = $2, and 12*2 = $24, it is possible to buy 12 pens.

The correct answer is D.
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by Brent@GMATPrepNow » Thu May 14, 2015 11:55 am
talaangoshtari wrote:A certain store sells two types of pens: one type for $2 per pen and the other type for $3 per pen. If a customer can spend up to $25 to buy pens at the store and there is no sales tax, what is the greatest number of pens the customer can buy?
A.9
B.10
C.11
D.12
E.20
We can maximize the number of pens we buy by buying as many CHEAP ($2) pens as possible.
We can buy 12 CHEAP pens for a total cost of $24
Alternatively, we can 11 CHEAP ($2) pens and 1 expensive ($3) for a total cost of $25
In both cases, we are able to buy 12 pens.

Answer: D

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