¹₁₀ of the people at a bird park were men. 80% of the remaining people were women and the rest were children. The number of women was 374 more than the total number of men and children. After some women left the bird park, 60% of the people that remained were women. How many women left the bird park?

Men	Children	Women	Total
1x5	9x5		10x5
	1x9	4x9
5	9	36	50

	Men and children	Women
Before	14x1 = 14 u	36x1 = 36 u
Change		- 15 u
After	2x7 = 14 u	3x7 = 21 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 9 and 5 is 45.

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 14 and 2 is 14.

The number of women was 374 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
= 36 u - 14 u
= 22 u

22 u = 374

1 u = 374 ÷ 22 = 17

Number of women who left the bird park
= 36 u - 21 u
= 15 u
= 15 x 17
= 255

Answer(s): 255