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GMATPrep -- Ratio of the number of boxes

Expert replies
by shilotilo » Sun Jun 29, 2008 6:33 am
Hi,
This is the Q for which I am getting C as the answer, but the OA is E ----

L, R and P packed a certain number of boxes with books. What is the ratio of the number of boxes that R packed to the number of boxes that P packed?
1) L packed 30% of the total no. of boxes. (Obviously, insufficient)
2) R packed 10 more boxes than P. (Again, insufficient by itself)

Am I making a mistake in taking 100 as the total number of boxes, thereby making 70 as the total number of boxes packed by R and P?

Or is the mistake in the next step, where after clubbing the previous step with the second statement, I solve the equation (P+10) + P = 70 and then on get the final ratio of L, P and R to be 30: 40:30?
I have the feeling that it is the second step, but I am not sure why.

Any explanation will be welcome.

Thanks.
Shilo
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Source: — Data Sufficiency |

shilotilo wrote: Am I making a mistake in taking 100 as the total number of boxes, thereby making 70 as the total number of boxes packed by R and P?
Yes, this is the mistake. Using both statements, we know R and P packed 70% of the boxes together. So yes, it's possible that the total number of boxes was 100, and that the ratio was 40:30. But it's also possible that the total number of boxes was 20, and the ratio was 12:2. You cannot just invent a number here for the number of boxes, unfortunately.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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