3/5 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?

Answer 1

If there were x people in all, then
men = (3/4)(2/5)x = 3/10 x
3/5 x = 140 + (1 - 3/5 - 3/10)x = 140+x/10
6x = 140+x
5x = 1400
x = 280

check:
3/5 of 280 = 168
3/4 of 280-168 = 84
women = 168-140 = 28

168+84+28 = 280