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Baked treats. Doubt in question stem

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Baked treats. Doubt in question stem

by rahulvsd » Sun Nov 06, 2011 5:59 am
At a baked treat sale, there are B brownies, C cookies, and L lemon squares for sale, all of which are sold on plates. If each plate contains 5 treats, how many plates of baked treats are for sale?

1. The number of brownies, cookies, and lemon squares for sale are in the ratio 1 : 8 : 9 respectively.
2. There are 15 more lemon squares for sale than cookies.

[spoiler]OA:C. Is the wording of the question correct. I think there is something missing. [/spoiler]
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Source: — Data Sufficiency |
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by shankar.ashwin » Sun Nov 06, 2011 6:16 am
You have B,C and L here.

Each plate has 5 treats which could contain any combination of B,C and L's. If we know the total (B+C+L) we can divide it by 5 and find number of plates.

Statement 1:

B|C|L = 1|8|9

We can't find numbers using ratio. Insuff

Statement 2

L = C+15 (Insuff Alone)

Together;

Ratio is 1:8:9 . now the difference between 'L' and 'C' is 1.

Statement 2 says difference is 15. So if we multiply the ratio by 15 we have;

15: 120 : 135. (this is the only combo which can give a difference of 15)

Now total = 270. therefore, (270/5) 54 plates can be made. C IMO
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