At an event held at the stadium, 70% of the audience were adults. The female audience was made up of 40% of the adults and 70% of the children. There were 144 less boys than girls.

1. How many people went to the stadium in total?
2. Some women left before the event ended, after which 25% of the remaining people at the stadium were women. How many women left the stadium before it ended?

	Adults		Children		Total
	7 u		3 u		10 u
	Women	Men	Girls	Boys
Before	2.8 u	4.2 u	2.1 u	0.9 u
Change	- ?				- ?
After		7.2 u
Comparison in the end	1 p	3 p			4 p

(a)
70% = ⁷⁰₁₀₀ = ⁷₁₀

Number of women
= 40% x 7 u
= ⁴⁰₁₀₀ x 7 u
= 2.8 u

Number of men
= 7 u - 2.8 u
= 4.2 u

Number of girls
= 70% x 3 u
= ⁷⁰₁₀₀ x 3 u
= 2.1 u

Number of boys
= 3 u - 2.1 u
= 0.9 u

Number of more girls than boys
= 2.1 u - 0.9 u
= 1.2 u

1.2 u = 144

1 u = 144 ÷ 1.2 = 120

Number of people
= 10 u
= 10 x 120
= 1200

(b)
25% = ²⁵₁₀₀ = ¹₄

The total number of men and children in the end is repeated.
7.2 u = 3 p

Number of men and children
= 4.2 u + 3 u
= 7.2 u
= 7.2 x 120
= 864

3 p = 7.2 u
3 p = 864

1 p = 864 ÷ 3 = 288

Number of women in the end
= 1 p
= 288

Number of women at first
= 2.8 u
= 2.8 x 120
= 336

Number of women who left before the event ended
= 336 - 288
= 48

Answers: (a) 1200; (b) 48