3/8 of the people at a funfair were children. 3/4 of the remaining people were men. There were 140 more children than women. How many people went to the funfair?

X = total people

3/8x are children ... that leaves 5/8 remaining ...

3/4 of remaining are men ... 3/4 (5/8) = 15/32x are men

1/4 of remaining are women ... 1/4 (5/8) = 5/32x are women

140 more women then children ... so children - 140 = women

3/8x - 140 = 5/32x

3/8x - 5/32x = 140

12/32x - 5/32x = 140

7/32x = 140

x = 140 * 32/7

x = 4480/7

x = 640

total people is 640 <===

children : 3/8 (640) = 240

men : 15/32 (640) = 300

women : 5/32 (640) = 100