Math
posted by Ana on .
At a festival, 2/7 of the number of girls was equal to 3/5 of the number of the boys. There were 165 fewer boys than girls, how many children were at the festival in all?

b = g165
2/7 g = 3/5 b
(b,g) = (150,315) 
b = g  165
2 g/7 = 3 b/5
2 g/7 = (3/5)(g165)
solve for g
then for b
then add b+g 
Um... I really didn't understand you very clearly. So can you like go through this so I can understand cause I'm not really fimillar with algerbra.

There are g girls and b boys.
2 g/7 = (3/5)(g165)
(See Damon's derivation)
(10/21)g = g  165
11/21 g = 165
g = 315
b = 315 165 = 150
Total = b + g = 465 
Um... How exactly did you find the number of girls? Sorry I don't understand algebra that much.