At an event held at the stadium, 25% of the audience were adults. The female audience was made up of 20% of the adults and 80% of the children. There were 378 more girls than boys.

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

	Adults		Children		Total
	1 u		3 u		4 u
	Women	Men	Girls	Boys
Before	0.2 u	0.8 u	2.4 u	0.6 u
Change	+ ?				+ ?
After		3.8 u
Comparison in the end	1 p	3 p			4 p

(a)
25% = ²⁵₁₀₀ = ¹₄

Number of women
= 20% x 1 u
= ²⁰₁₀₀ x 1 u
= 0.2 u

Number of men
= 1 u - 0.2 u
= 0.8 u

Number of girls
= 80% x 3 u
= ⁸⁰₁₀₀ x 3 u
= 2.4 u

Number of boys
= 3 u - 2.4 u
= 0.6 u

Number of more girls than boys
= 2.4 u - 0.6 u
= 1.8 u

1.8 u = 378

1 u = 378 ÷ 1.8 = 210

Number of children
= 3 u
= 3 x 210
= 630

(b)
25% = ²⁵₁₀₀ = ¹₄

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

Number of men and children
= 0.8 u + 3 u
= 3.8 u
= 3.8 x 210
= 798

3 p = 3.8 u
3 p = 798

1 p = 798 ÷ 3 = 266

Number of women in the end
= 1 p
= 266

Number of women at first
= 0.2 u
= 0.2 x 210
= 42

Number of women who joined before the event ended
= 266 - 42
= 224

Answers: (a) 630; (b) 224