At an event held at the stadium, 40% of the audience were adults. The female audience was made up of 10% of the adults and 70% of the children. There were 300 more girls than boys.

1. How many children went to the stadium in total?
2. Some women joined before the event ended, after which 20% of the remaining people at the stadium were women. How many women joined the stadium before it ended?

	Adults		Children		Total
	2 u		3 u		5 u
	Women	Men	Girls	Boys
Before	0.2 u	1.8 u	2.1 u	0.9 u
Change	+ ?				+ ?
After		4.8 u
Comparison in the end	1 p	4 p			5 p

(a)
40% = ⁴⁰₁₀₀ = ²₅

Number of women
= 10% x 2 u
= ¹⁰₁₀₀ x 2 u
= 0.2 u

Number of men
= 2 u - 0.2 u
= 1.8 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 = 300

1 u = 300 ÷ 1.2 = 250

Number of children
= 3 u
= 3 x 250
= 750

(b)
20% = ²⁰₁₀₀ = ¹₅

The total number of men and children in the end is repeated.
4.8 u = 4 p

Number of men and children
= 1.8 u + 3 u
= 4.8 u
= 4.8 x 250
= 1200

4 p = 4.8 u
4 p = 1200

1 p = 1200 ÷ 4 = 300

Number of women in the end
= 1 p
= 300

Number of women at first
= 0.2 u
= 0.2 x 250
= 50

Number of women who joined before the event ended
= 300 - 50
= 250

Answers: (a) 750; (b) 250