¹₉ of the guests at a safari park were men. 80% of the remaining guests were women and the rest were children. The total number of men and children is 228 less than the number of women. After some women entered the safari park, 75% of the guests that remained were women. How many women entered the safari park?

Men	Children	Women	Total
1x5	8x5		9x5
	1x8	4x8
5	8	32	45

	Men and children	Women
Before	13x1 = 13 u	32x1 = 32 u
Change		+ 7 u
After	1x13 = 13 u	3x13 = 39 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 8 and 5 is 40.

75% = ⁷⁵₁₀₀ = ³₄

When some women entered, the total number of men and children remains unchanged. Make the total number of men and children the same. LCM of 13 and 1 is 13.

The total number of men and children is 228 less than the number of women.

Number of less men and children than the number of women at first
= 32 u - 13 u
= 19 u

19 u = 228

1 u = 228 ÷ 19 = 12

Number of women who entered the safari park
= 39 u - 32 u
= 7 u
= 7 x 12
= 84

Answer(s): 84