SOLUTION: there is a group of boys and girls waiting for the school buses. the ratio of boys to girls at the stop is 2:3 15 boys get on the next bus.the ratio of boys to girls at the stop

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: there is a group of boys and girls waiting for the school buses. the ratio of boys to girls at the stop is 2:3 15 boys get on the next bus.the ratio of boys to girls at the stop       Log On


   

Question 874497: there is a group of boys and girls waiting for the school buses.
the ratio of boys to girls at the stop is 2:3
15 boys get on the next bus.the ratio of boys to girls at the stop is now 1:1 (same number as boys as girls).
how many students were there at the stop to start with?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

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