SOLUTION: From a group of boys and girls, 15 girls leave. There are then left two boys for each girl. After 45 boys leave, there are then 5 girls for each boy. The number of girls in the beg

Question 279669: From a group of boys and girls, 15 girls leave. There are then left two boys for each girl. After 45 boys leave, there are then 5 girls for each boy. The number of girls in the beginning was:
(A) 40 (B) 43 (C) 29 (D) 50 (E) 60
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of boys in the beginning
Let = number of girls in the beginning
15 girls leave, so
in the group
There are 2 boys for each girl, so

45 boys leave, so
in the group
Now there are 5 girls for each boy, so

I'll substitute this into

There were 40 girls in the beginning- (A)
check:

and in the original group
15 girls leave, so
,
There are 2 boys for each girl- that checks
45 boys leave, so
,
There are 5 girls for each boy- OK
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