There are four times as many children as adults in a stadium. There are 198 more boys than girls. If there are 510 people in the stadium,
- how many children are there?
- how many girls are there?
- how many boys are there?
| Children |
Adults |
Total |
| 4 u |
1 u |
5 u |
| Girls |
Boys |
|
|
| 1 p |
1 p + 198 |
|
|
(a)
Number of adults = 1 u
Number of children = 4 x 1 u = 4 u
Total number of people
= 4 u + 1 u
= 5 u
5 u = 510
1 u = 510 ÷ 5 = 102
(a)
Number of children
= 4 u
= 4 x 102
= 408
(b)
Number of girls = 1 p
Number of boys = 1 p + 198
1 p + 1 p + 198 = 408
2 p + 198 = 408
2 p = 408 - 198
2 p = 210
1 p = 210 ÷ 2 = 105
Number of girls
= 1 p
= 105
(c)
Number of boys
= 1 p + 198
= 105 + 198
= 303
Answer(s): (a) 408; (b) 105; (c) 303
