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In a certain English class, 1/4 of the number of girls is equal to

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In a certain English class, 1/4 of the number of girls is equal to [#permalink]

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New post 06 Oct 2008, 11:23
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In a certain English class, 1/4 of the number of girls is equal to 1/6 of the total number of students. What is the ratio of the number of boys to the number of girls in the class?

A. 1 to 4
B. 1 to 3
C. 1 to 2
D. 2 to 3
E. 2 to 1
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Re: In a certain English class, 1/4 of the number of girls is equal to [#permalink]

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New post 06 Oct 2008, 12:22
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albany09 wrote:
In a certain English class, 1/4 of the number of girls is equal to 1/6 of the total number of students. What is the ratio of the number of boys to the number of girls in the class?

A. 1 to 4
B. 1 to 3
C. 1 to 2
D. 2 to 3
E. 2 to 1


Assume; g = number of girls, b = number of boys

Total number of students = b + g

g / 4 = (b + g) /6

6g = 4(b + g) = 4b + 4g
2g = 4b
2/4 = b/g
b/g = 1/2

The answer is C. 1 to 2.
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Re: In a certain English class, 1/4 of the number of girls is equal to [#permalink]

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New post 07 Oct 2008, 04:18
albany09 wrote:
In a certain English class, 1/4 of the number of girls is equal to 1/6 of the total number of students. What is the ratio of the number of boys to the number of girls in the class?

A. 1 to 4
B. 1 to 3
C. 1 to 2
D. 2 to 3
E. 2 to 1


1/4 g = 1/6 t thus g = 2/3t

B= 1/3t
b/g = (1/3) / (2/3) = 1/2 ..C
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New post 07 Oct 2008, 05:03
C. Use real numbers. 1/4 of the number of girls is 10, so are 60 students. The number of girls is 4X10=40 and the number of boys is 60-40=20. 20/40 = 1/2
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New post 31 Oct 2010, 04:12
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In a certain English Class, 1/4 of the number of girls is equal to 1/6 of the total number of students. What is the ratio of the number of boys to the number of girls in the class?
A) 1 to 4
B) 1 to 3
(C) 1 to 2
(D) 2 to 3
(E) 2 to 1
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monirjewel wrote:
In a certain English Class, 1/4 of the number of girls is equal to 1/6 of the total number of students. What is the ratio of the number of boys to the number of girls in the class?
A) 1 to 4
B) 1 to 3
(C) 1 to 2
(D) 2 to 3
(E) 2 to 1


1/4 girls = 1/6 total
=> girls = 2/3 total

this implies, number of boys = 1/3 total

ratio of boys/girls = (1/3)/(2/3)
= 1/2

Answer : (C) 1 to 2
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New post 09 Nov 2010, 08:28
Consider a number with 4 and 6 as its factors- 24.

now 1/6 th of 24 = 1/4 th of girls------> 4=(1/4)g
So - Girls =16 and Boys=8
So ratio= 8/16 = 1/2
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New post 12 Apr 2015, 18:38
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Re: In a certain English class, 1/4 of the number of girls is equal to [#permalink]

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New post 12 Apr 2015, 19:42
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Hi All,

This question is perfect for TESTing VALUES and you can keep the Values really small (which will make the 'math' really easy)...

We're told that, in a class, 1/4 of the number of girls is equal to 1/6 of the total number of students. We're asked for the ratio of the number of boys to the number of girls in the class.

IF....
Number of Girls = 4

We're told that (1/4)(4) = (1/6)(Total)

1 = (1/6)(Total)
Total students = 6

Number of Boys = 6-4= 2

The ratio of Boys:Girls is 2:4 = 1 to 2

Final Answer:
[Reveal] Spoiler:
C


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Re: In a certain English class, 1/4 of the number of girls is equal to [#permalink]

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New post 19 Jul 2015, 08:47
Hello from the GMAT Club BumpBot!

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Re: In a certain English class, 1/4 of the number of girls is equal to [#permalink]

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New post 19 Jul 2015, 09:23
LCM\((4,6) = 12\). So, let the total number of students in the class be 12.

\(\frac{1}{6}(12) = 2 = \frac{1}{4}\)(number of girls). So, total number of girls in the class = \(4*2 = 8\).

Hence, the ratio of \(boys:girls = 4:8 = 1:2\). Ans (C).
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Re: In a certain English class, 1/4 of the number of girls is equal to [#permalink]

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New post 20 Jul 2015, 08:19
Expert's post
In a certain English class, 1/4 of the number of girls is equal to 1/6 of the total number of students. What is the ratio of the number of boys to the number of girls in the class?

A. 1 to 4
B. 1 to 3
C. 1 to 2
D. 2 to 3
E. 2 to 1
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Untitled.jpg [ 29.61 KiB | Viewed 2260 times ]


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In a certain English class, 1/4 of the number of girls is equal to [#permalink]

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New post 01 Sep 2015, 14:21
Here is the straightforward approach without testing numbers:

if 1/4 of girls = 1/6 of the class, then 4 * 1/4 of the girls = 4 * 1/6 of the glass

so all the girls represent 4/6, then the boys must be 2/6, and the ratio is 1:2
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In a certain English class, 1/4 of the number of girls is equal to [#permalink]

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New post 31 Mar 2016, 00:48
Attached is a visual that should help. I used the classic "algebra to simplify, plug in numbers to finish" method. Please ignore the 15 x 60...it is from another question.
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Screen Shot 2016-03-31 at 12.47.13 AM.png [ 84.18 KiB | Viewed 481 times ]

In a certain English class, 1/4 of the number of girls is equal to   [#permalink] 31 Mar 2016, 00:48
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