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# A group consists of Canadians, Americans and Mexicans. If the ratio of

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Math Expert
Joined: 02 Sep 2009
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A group consists of Canadians, Americans and Mexicans. If the ratio of  [#permalink]

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05 Oct 2017, 03:45
00:00

Difficulty:

25% (medium)

Question Stats:

71% (01:23) correct 29% (01:19) wrong based on 127 sessions

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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 less than 30 Mexicans.

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Re: A group consists of Canadians, Americans and Mexicans. If the ratio of  [#permalink]

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05 Oct 2017, 03:55
Bunuel wrote:
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 less than 30 Mexicans.

We are given a ratio and we need to find the NUMBER of americans.

S1. Note that this statement only gives the ratio.
eg . # of mexicans = 7 ; # of americans = 13
OR # of mexicans = 14 ; # of americans = 26
Not sufficient

S2. This gives no information about americans
Not sufficient

S1 and S2 combined
The example in S1 is still relevant
Not sufficient

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Re: A group consists of Canadians, Americans and Mexicans. If the ratio of  [#permalink]

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05 Oct 2017, 10:46
1
Bunuel wrote:
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 less than 30 Mexicans.

C:M::3:2
(1) M:A::7:13
C:M:A:::21:14:26

Americans can be any multiple of 26..not sufficient

(2) less than 30 Mexicans do not tell us anything about Americans..not sufficient

on combining since all have to be + integer possible value of Mexicans less than 30 is 14,28 hence Americans can be 26 or 52

E
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Re: A group consists of Canadians, Americans and Mexicans. If the ratio of  [#permalink]

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10 Oct 2017, 19:55
C : M = 3 : 2
A ?

Statement 1: INSUFF
M: A = 7 : 13

M can be 14, 21,28 ..

Statment 2 : INSUFF
M is less than 30, we still have 3 possibilities. So, (E)
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05 Feb 2019, 22:50
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Re: A group consists of Canadians, Americans and Mexicans   [#permalink] 05 Feb 2019, 22:50
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