Data Sufficiency

A group consists of Canadians, Americans and Mexicans. If the ratio of the number of Canadians to the number of Mexicans is 3 to 2, how many Americans are in the group?

(1) The ratio of the number of Mexicans to Americans is 7 to 13.

(2) There are fewer than 30 Mexicans.

From the question statement. C:M = 3:2

From statement 1

M:A = 7:13 = 14:26

So C:M:A = 21:14:26

There will be 14x mexicans where x>=1. So the number of americans will vary depending on the value of x.

So insufficient.

From statement 2

There are less than 30 mexicans. Not sufficient. Doesn't help me find the number of Americans.

Taking statements 1 and 2

I know there will be 14x Mexicans. But x can be 1 or 2

I can have 14 Mexicans or 28 Mexicans. So the number of Americans can be 26 or 52.

Not sufficient. Ans is E

Great job! The official answer is E.

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