At an event held at the stadium, 60% of the audience were adults. The female audience was made up of 20% of the adults and 80% of the children. There were 216 less boys than girls.

1. How many people went to the stadium in total?
2. Some women left before the event ended, after which 10% of the remaining people at the stadium were women. How many women left the stadium before it ended?

	Adults		Children		Total
	3 u		2 u		5 u
	Women	Men	Girls	Boys
Before	0.6 u	2.4 u	1.6 u	0.4 u
Change	- ?				- ?
After		4.4 u
Comparison in the end	1 p	9 p			10 p

(a)
60% = ⁶⁰₁₀₀ = ³₅

Number of women
= 20% x 3 u
= ²⁰₁₀₀ x 3 u
= 0.6 u

Number of men
= 3 u - 0.6 u
= 2.4 u

Number of girls
= 80% x 2 u
= ⁸⁰₁₀₀ x 2 u
= 1.6 u

Number of boys
= 2 u - 1.6 u
= 0.4 u

Number of more girls than boys
= 1.6 u - 0.4 u
= 1.2 u

1.2 u = 216

1 u = 216 ÷ 1.2 = 180

Number of people
= 5 u
= 5 x 180
= 900

(b)
10% = ¹⁰₁₀₀ = ¹₁₀

The total number of men and children in the end is repeated.
4.4 u = 9 p

Number of men and children
= 2.4 u + 2 u
= 4.4 u
= 4.4 x 180
= 792

9 p = 4.4 u
9 p = 792

1 p = 792 ÷ 9 = 88

Number of women in the end
= 1 p
= 88

Number of women at first
= 0.6 u
= 0.6 x 180
= 108

Number of women who left before the event ended
= 108 - 88
= 20

Answers: (a) 900; (b) 20