There are five times as many children as adults in a bird park. There are 137 more girls than boys. If there are 714 people in the bird park,
- how many children are there?
- how many boys are there?
- how many girls are there?
| Children |
Adults |
Total |
| 5 u |
1 u |
6 u |
| Boys |
Girls |
|
|
| 1 p |
1 p + 137 |
|
|
(a)
Number of adults = 1 u
Number of children = 5 x 1 u = 5 u
Total number of people
= 5 u + 1 u
= 6 u
6 u = 714
1 u = 714 ÷ 6 = 119
(a)
Number of children
= 5 u
= 5 x 119
= 595
(b)
Number of boys = 1 p
Number of girls = 1 p + 137
1 p + 1 p + 137 = 595
2 p + 137 = 595
2 p = 595 - 137
2 p = 458
1 p = 458 ÷ 2 = 229
Number of boys
= 1 p
= 229
(c)
Number of girls
= 1 p + 137
= 229 + 137
= 366
Answer(s): (a) 595; (b) 229; (c) 366
