²₉ of the people at a tourist attraction were men. 90% of the remaining people were women and the rest were children. The number of women was 648 more than the total number of men and children. After some women left the tourist attraction, 60% of the people that remained were women. How many women left the tourist attraction?

Men	Children	Women	Total
2x10	7x10		9x10
	1x7	9x7
20	7	63	90

	Men and children	Women
Before	27x2 = 54 u	63x2 = 126 u
Change		- 45 u
After	2x27 = 54 u	3x27 = 81 u

90% = ⁹⁰₁₀₀ = ⁹₁₀
Children : Women = 1 : 9

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 10 is 70.

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 27 and 2 is 54.

The number of women was 648 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
= 126 u - 54 u
= 72 u

72 u = 648

1 u = 648 ÷ 72 = 9

Number of women who left the tourist attraction
= 126 u - 81 u
= 45 u
= 45 x 9
= 405

Answer(s): 405