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boys currently attend

by sanju09 » Tue Sep 14, 2010 3:46 am
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


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by Rahul@gurome » Tue Sep 14, 2010 4:00 am
Let number of boys = 2x and girls = 5x
When 12 boys are added, number of boys = 2x + 12
Then (2x + 12) : 5x = 4 : 9
18x + 108 = 20x
108 = 2x or x = 54
Therefore, number of boys currently in school = 2(54) = 108

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