Let x be the original number of boys and y be the original number of girls.....so
x / y = 4/3 implies that 3x = 4y implies that y = (3/4)x
So......after 60 boys and 150 boys are added, we have
[x + 60] / [ (3/4)x + 150 ] = 2 / 3 cross-multiply
3[x + 60] = 2 [ (3/4)x + 150] simplify
3x + 180 = (3/2)x + 300
(3/2)x = 120
x = 80 = number of boys originally
(3/4)(80) = 60 = number of girls originally
