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.
Canadians, Americans and Mexicans
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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
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
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Great job! The official answer is E.
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