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Of the students in a certain group, 22 percent are juniors

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Of the students in a certain group, 22 percent are juniors [#permalink] New post 17 Dec 2017, 12:44
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Question Stats:

99% (00:38) correct 0% (00:00) wrong based on 7 sessions
Of the students in a certain group, 22 percent are juniors and 26 percent are seniors.

Quantity A
Quantity B
The ratio of the number of juniors in the group to the number of seniors in
the group
\(\frac{4}{5}\)




A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Of the students in a certain group, 22 percent are juniors [#permalink] New post 01 Feb 2018, 11:43
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Although we don't know the actual numbers of juniors and seniors, we can just use the percents in their place. After all, maybe there are exactly 100 junior and seniors total. So the ratio of juniors to seniors must be 22/26. This reduces to 11/13. When comparing two fractions (or ratios) in a QC, you can just make sure they have a common denominator. So

11/13 4/5

Turns into

55/65 52/65

So A is the correct answer. Notice by the way, that we didn't actually need to do the denominators, since we were only comparing the numerators. So you can save a bit of time and effort if you skip that part.
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Re: Of the students in a certain group, 22 percent are juniors   [#permalink] 01 Feb 2018, 11:43
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Of the students in a certain group, 22 percent are juniors

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