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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, 10:23
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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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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, 03:18
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, 04:03
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 6040=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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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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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, 07:28
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, 18:42
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 = 64= 2 The ratio of Boys:Girls is 2:4 = 1 to 2 Final Answer: GMAT assassins aren't born, they're made, Rich
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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, 08:23
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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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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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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30 Mar 2016, 23:48
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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