SOLUTION: there is a group of boys and girl waiting for the school buses . 15 girls get on the first bus.The ratio of boys to girls at the stop is now 7:4. 12 boys get on the next bus.the

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: there is a group of boys and girl waiting for the school buses . 15 girls get on the first bus.The ratio of boys to girls at the stop is now 7:4. 12 boys get on the next bus.the      Log On


   



Question 874525: there is a group of boys and girl waiting for the school buses .
15 girls get on the first bus.The ratio of boys to girls at the stop is now 7:4.
12 boys get on the next bus.the ratio of boys to girls at the stop is now 1:1
How many students where there at the stop to start with.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
b%2F%28g-15%29+=+7%2F4 4b -7g = -105
%28b-12%29%2F%28g-15%29+=+1%2F1 b - g = -3
4b-7g = -105
b -g = -3 times -7 add to first
-3b = -84
b = 28 and g =31 at the stop to start with
checking
28/(31-15) = 28/16 = 7/4