ashforgmat wrote:The ratio of boys to girls in Class A is 3 to 4. The ratio of boys to girls in Class B is 4 to 5. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A?
8
9
10
11
12
Now in the official answer explanation the information "If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22" is not used et all.
Can this happen on the GMAT? That some info. given in the question is not et all used?
I've seen a few GMAT problems that offer unnecessary information. Such a situation is rare, however. In my BTG article
How to Unstick Yourself (https://www.beatthegmat.com/mba/2010/07/ ... k-yourself), I suggest that if you're ever stuck on a math problem, you should ask yourself what pieces of information you haven't used. Usually any information given will be needed in order to answer the question.
By the way, the problem above is easily and efficiently solved by plugging in the answers, which represent the number of girls in Class A. Since the ratio of boys:girls = 3:4, the number of girls must be a multiple of 4. Eliminate B, C and D.
Answer choice E: 12 girls in Class A
Since boys:girls = 3:4, 12 girls in Class A means 9 boys (since 3:4 = 9:12).
Since Class A has 1 more boy than Class B, boys in Class B = 9-1 = 8.
Since Class A has 2 more girls than Class B, girls in Class B = 12-2 = 10.
In Class B, boys:girls = 8:10 = 4:5. Success!
The correct answer is
E.
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