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Juan bought some paperback books that cost $8 each and some

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Juan bought some paperback books that cost $8 each and some [#permalink]

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New post 28 Mar 2009, 09:34
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Juan bought some paperback books that cost $8 each and some hardcover books that cost $25 each. If Juan bought more than 10 paperback books, how many hard cover books did he buy:

1) Total cost of the hardcover books that Juan bought was at least $150.
2) Total cost of all books that Juan bought was less than $260.

Please explain your answers and try to solve it by making equations.

Many thanks.
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Re: GMAT Prep Books DS [#permalink]

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New post 28 Mar 2009, 10:40
Accountant wrote:
Juan bought some paperback books that cost $8 each and some hardcover books that cost $25 each. If Juan bought more than 10 paperback books, how many hard cover books did he buy:

1) Total cost of the hardcover books that Juan bought was at least $150.
2) Total cost of all books that Juan bought was less than $260.

Please explain your answers and try to solve it by making equations.

Many thanks.


I think it should be C.

stmnt1
25h>=150
h>=6
insuffic.

stmnt2
8p+25h<260
insuffic.

Let's combine.
Since 8p+25h < 260, then 260-150 = 110 is the maximum amount to have been spent on paperbooks. Therefore, p<14.
From here, we can plug in numbers to calculate p and h. Doing so, we can see that the only combination is when h=4 and p=20.
So, it should be C.

I wonder if there's a faster way to do this final step, when we combine?

Last edited by peraspera on 28 Mar 2009, 11:01, edited 1 time in total.
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Re: GMAT Prep Books DS [#permalink]

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New post 28 Mar 2009, 10:52
P and H
8P > 80

Statement 1 - 25H >= 150, H >= 6 - not sufficient
Statement 2 - 8P + 25H < 260 - not sufficient

Combining the 2 statements, 8P < 110, if we take H to be 6. We know that it is more than 10 Paper backs, so it can be either 11, 12 or 13. If it is 11, we can have 6 H - if it is 12, we can still have 6 H - and if it is 13, then also we can have 6 H. So all 3 satisfies the equation. If it was 7, then we wouldn't satisfy the clause for greater than 10 P.

So the answer is C. What is the OA?
Re: GMAT Prep Books DS   [#permalink] 28 Mar 2009, 10:52
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Juan bought some paperback books that cost $8 each and some

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