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Very simple ratio question

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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by torofish » Wed Dec 09, 2009 1:18 am
there are 2 equations: ratios of students in each major


English Student = 2 History Student
English Student = 3 Math Student

The question is what is the ratio of History to Math Student

It's Math/History, which is 3/2, right?

the ratio of X to Y is answered in the form of Y/X, right?
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Source: — Quantitative Reasoning |
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by awo84 » Thu Dec 10, 2009 7:49 pm
English Student = 2 History Student
English Student = 3 Math Student

The question is what is the ratio of History to Math Student
Its pretty simple:

English Student = 2 History Student
English Student = 3 Math Student

--> 2 History Student = 3 Math Student

--> Ratio is 2:3
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by 3layeh » Fri Dec 11, 2009 1:15 pm
Hello ,

I felt confused as well though its simple i dunno why

history : math is 2:3
but the right answer was 3:2 or 3\2 ?? why is that ?? Please explain
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by mridula » Sun Dec 13, 2009 10:06 am
3layeh wrote:Hello ,

I felt confused as well though its simple i dunno why

history : math is 2:3
but the right answer was 3:2 or 3\2 ?? why is that ?? Please explain
Let History Students be 'H'
Math Student 'M'
English 'E'

We have,
E = 2H
So, H=(1/2)E

Similarly.
E = 3M
So, M = (1/3)E

Ratio of History Students to Math Students is,
H:M = H/M = (1/2E)/(1/3E)
= 3/2 = 3:2
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