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

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Manager
Joined: 03 Oct 2008
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In a certain English class, 1/4 of the number of girls is equal to  [#permalink]

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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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06 Oct 2008, 12:22
3
1
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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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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Re: In a certain English class, 1/4 of the number of girls is equal to  [#permalink]

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

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31 Oct 2010, 04:12
1
3
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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31 Oct 2010, 05:13
2
1
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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Re: In a certain English class, 1/4 of the number of girls is equal to  [#permalink]

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

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12 Apr 2015, 19:42
1
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

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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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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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20 Jul 2015, 08:19
1
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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In a certain English class, 1/4 of the number of girls is equal to  [#permalink]

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01 Sep 2015, 14:21
1
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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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 9984 times ]

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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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23 Jun 2018, 09:17
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