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The ratio of boys to girls in Class A is 3 to 4. The ratio

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The ratio of boys to girls in Class A is 3 to 4. The ratio [#permalink] New post 16 Jun 2007, 22:04
The ratio of boys to girls in Class A is 3 to 4. The ratio of boys to girls in Class B is 4 to 5. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If the number of boys in Class B is one less than the number of boys in Class A, and if the number of girls in Class B is two less than the number of girls in Class A, how many girls are in Class A?
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 [#permalink] New post 16 Jun 2007, 22:29
12 girls.

b/g = 3/4

(b+b-1)/(g+g-2) = 17/22

solving, g = 12
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Re: Ratios? [#permalink] New post 16 Jun 2007, 22:30
ArvGMAT wrote:
The ratio of boys to girls in Class A is 3 to 4. The ratio of boys to girls in Class B is 4 to 5. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22.

If the number of boys in Class B is one less than the number of boys in Class A, and if the number of girls in Class B is two less than the number of girls in Class A, how many girls are in Class A?


Class A:
girls = g + 1
boys = b + 2

Class B:
girls = g
boys = b

from A + B: (g+1+g) / (b+2+b) = 17/22
from A: (g+1) / (b+2) = 3/4

solving the above equation g = 10
so the number of girls in class A = 10 + 2 = 12
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 [#permalink] New post 17 Jun 2007, 06:50
Number of girls in the class A is 12
  [#permalink] 17 Jun 2007, 06:50
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The ratio of boys to girls in Class A is 3 to 4. The ratio

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