²₉ of the people at a stadium were men. 80% of the remaining people were women and the rest were children. The number of women was 330 more than the total number of men and children. After some women left the stadium, 60% of the people that remained were women. How many women left the stadium?

Men	Children	Women	Total
2x5	7x5		9x5
	1x7	4x7
10	7	28	45

	Men and children	Women
Before	17x2 = 34 u	28x2 = 56 u
Change		- 5 u
After	2x17 = 34 u	3x17 = 51 u

80% = ⁸⁰₁₀₀ = ⁴₅
Children : Women = 1 : 4

The total number of children and women at first is repeated.  Make the total number of children at first the same. LCM of 7 and 5 is 35.

60% = ⁶⁰₁₀₀ = ³₅

When some women left, the total number of men and children remains unchanged. Make the total number of men and children the same. LCM of 17 and 2 is 34.

The number of women was 330 more than the total number of men and children at first.

Number of more women than the total number of men and children at first
= 56 u - 34 u
= 22 u

22 u = 330

1 u = 330 ÷ 22 = 15

Number of women who left the stadium
= 56 u - 51 u
= 5 u
= 5 x 15
= 75

Answer(s): 75