¹₁₀ of the guests at a safari park were women. 80% of the remaining guests were men and the rest were children. The number of men was 462 more than the total number of women and children. After some men left the safari park, 70% of the guests that remained were men. How many men left the safari park?

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

	Women and children	Men
Before	14x3 = 42 u	36x3 = 108 u
Change		- 10 u
After	3x14 = 42 u	7x14 = 98 u

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

The total number of children and men at first is repeated.  Make the total number of children at first the same. LCM of 9 and 5 is 45.

70% = ⁷⁰₁₀₀ = ⁷₁₀

When some men left, the total number of women and children remains unchanged. Make the total number of women and children the same. LCM of 14 and 3 is 42.

The number of men was 462 more than the total number of women and children at first.

Number of more men than the total number of women and children at first
= 108 u - 42 u
= 66 u

66 u = 462

1 u = 462 ÷ 66 = 7

Number of men who left the safari park
= 108 u - 98 u
= 10 u
= 10 x 7
= 70

Answer(s): 70