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The current ratio of boys to girls at a certain school is 2 to 5. If 1

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The current ratio of boys to girls at a certain school is 2 to 5. If 1 [#permalink]

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New post 15 Jan 2018, 04:46
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The current ratio of boys to girls at a certain school is 2 to 5. If 12 additional boys were added to the school, the new ratio of boys to girls would be 4 to 9. How many boys currently attend the school?

(A) 27
(B) 48
(C) 54
(D) 72
(E) 108
[Reveal] Spoiler: OA

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Re: The current ratio of boys to girls at a certain school is 2 to 5. If 1 [#permalink]

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New post 15 Jan 2018, 07:16
Bunuel wrote:
The current ratio of boys to girls at a certain school is 2 to 5. If 12 additional boys were added to the school, the new ratio of boys to girls would be 4 to 9. How many boys currently attend the school?

(A) 27
(B) 48
(C) 54
(D) 72
(E) 108


B:G = 2:5

let, B = 2a
and G = 5a

after adding 12 Boys, Boys now = 2a+12
Girls now = 5a

New Ratio = 2a+12 / 5a = 4/9

i.e. a+6 / 5a = 2/9

i.e. 9a +54 = 10a
i.e. a = 54

Now, Boys = 2a = 2*54 = 108

Answer: Option E
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The current ratio of boys to girls at a certain school is 2 to 5. If 1 [#permalink]

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New post 17 Jan 2018, 06:32
(2x+12)/(5x) = (4/9)
2x=108

Ans. E.
The current ratio of boys to girls at a certain school is 2 to 5. If 1   [#permalink] 17 Jan 2018, 06:32
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