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I think I'm tired because I'm having a hard time

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I think I'm tired because I'm having a hard time [#permalink] New post 08 Nov 2005, 21:27
I think I'm tired because I'm having a hard time interpreting what exactly "as many" means here:

At a certain college there are twice as many english majors as history majors, and 3 times as many english majors as math majors. What is the ration of the number of history majors to the number of math majors?

1. 6 to 1
2. 3 to 2
3. 2 to 3
4. 1 to 5
5. 1 to 6


Could you make up numbers when explaining yourself? That would help. Thanks!
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 [#permalink] New post 08 Nov 2005, 21:29
H=2E
M=3E

Asked H/M = 2/3 (C)
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 [#permalink] New post 08 Nov 2005, 21:37
I would think that it is B.
English: E
Math: M
History: H

E:H = 2:1 = 6:3
E:M = 3:1 = 6: 2

Therefore, H:M = 3:2
answer B?
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 [#permalink] New post 08 Nov 2005, 21:40
yes, OA is B

I was doing exactly what the first poster did. any tips for help in this? If there are 4 english majors- does that mean there are 2 history majors or 8 history majors?
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 [#permalink] New post 08 Nov 2005, 21:47
Jennif102 wrote:
yes, OA is B

I was doing exactly what the first poster did. any tips for help in this? If there are 4 english majors- does that mean there are 2 history majors or 8 history majors?


Maybe, I am tired too!! :wink:
Long day's work --> see this question --> think it is too easy to be true --> fall right in to the trap :(
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 [#permalink] New post 08 Nov 2005, 21:53
if there are 4 english majors, then there should be 2 history majors.

The way i approach this type of questions is first to understand it verbally...
The question says " twice as many english majors as history majors"...
that tells me there are more english majors than history.
Then I estalish the ratio. Giving the bigger portion to english...
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 [#permalink] New post 08 Nov 2005, 21:56
To correct my boo-boo -
E=2H
E=3M

Asked H/M = 3/2 (B)
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 [#permalink] New post 08 Nov 2005, 23:28
Denote English Major with E, History Majors with H and Maths Majors with M

What the question simply says is:

E:H = 2:1
E:M = 3:1

What is the ratio of H:M?

We can write the ratio as H:E:M = 3:6:2
So H:M = 3:2 (B)
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 [#permalink] New post 09 Nov 2005, 07:36
Same approach as gsr`s corrected version.

Twice as many English majors as history majors: E=2H
Three times as many math majors as English majors: E=3M

2H=3M

H/M=3/2

Choose B.

The biggest hurdle with this problem is translating the English to Algebra.
It is worded rather tricky.
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Re: Ratio question that's driving me nuts! [#permalink] New post 09 Nov 2005, 11:22
Jennif102 wrote:
I think I'm tired because I'm having a hard time interpreting what exactly "as many" means here:

At a certain college there are twice as many english majors as history majors, and 3 times as many english majors as math majors. What is the ration of the number of history majors to the number of math majors?

1. 6 to 1
2. 3 to 2
3. 2 to 3
4. 1 to 5
5. 1 to 6


Could you make up numbers when explaining yourself? That would help. Thanks!


Twice as many english majors as history majors means that there are more E than H with the equation being E = 2H

Similarly E = 3M

It follows that 2H = 3M
or H/M = 3/2

(B)
Re: Ratio question that's driving me nuts!   [#permalink] 09 Nov 2005, 11:22
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