3/7 of the people who live in the apartment building are men. 5/8 of the remaining people are women. The rest are children. A total of 275 men and women live in building. How many people live in apartment building altogether?

Answer 1

If there are x children, then we have
(3/7 + 5/8 * 4/7) (275+x) = 275
x = 75
so, 275+75 = 350 people lived there

Answer 2

let the total number be x
4/7x of people must be either women or children
women: (5/8)(4/7)x = (5/14)x

3x/7 + 5x/14 = 275 , multiply by 14 and simplify
11x = 3850
x = 350

Answer 3

thanks!