At an event held at the stadium, 30% of the audience were adults. The female audience was made up of 10% of the adults and 80% of the children. There were 1008 more girls than boys.
- How many children went to the stadium in total?
- 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 |
|
3 u |
7 u |
10 u |
|
Women |
Men |
Girls |
Boys |
|
Before |
0.3 u |
2.7 u |
5.6 u |
1.4 u |
|
Change |
+ ? |
|
+ ? |
After |
|
9.7 u |
|
Comparison in the end |
1 p |
3 p |
4 p |
(a)
30% =
30100 =
310Number of women
= 10% x 3 u
=
10100 x 3 u
= 0.3 u
Number of men
= 3 u - 0.3 u
= 2.7 u
Number of girls
= 80% x 7 u
=
80100 x 7 u
= 5.6 u
Number of boys
= 7 u - 5.6 u
= 1.4 u
Number of more girls than boys
= 5.6 u - 1.4 u
= 4.2 u
4.2 u = 1008
1 u = 1008 ÷ 4.2 = 240
Number of children
= 7 u
= 7 x 240
= 1680
(b)
25% =
25100 =
14The total number of men and children in the end is repeated.
9.7 u = 3 p
Number of men and children
= 2.7 u + 7 u
= 9.7 u
= 9.7 x 240
= 2328
3 p = 9.7 u
3 p = 2328
1 p = 2328 ÷ 3 = 776
Number of women in the end
= 1 p
= 776
Number of women at first
= 0.3 u
= 0.3 x 240
= 72
Number of women who joined before the event ended
= 776 - 72
= 704
Answers: (a) 1680; (b) 704