There are four times as many children as adults in a park. There are 142 more girls than boys. If there are 595 people in the park,
- how many children are there?
- how many boys are there?
- how many girls are there?
| Children |
Adults |
Total |
| 4 u |
1 u |
5 u |
| Boys |
Girls |
|
|
| 1 p |
1 p + 142 |
|
|
(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 = 595
1 u = 595 ÷ 5 = 119
(a)
Number of children
= 4 u
= 4 x 119
= 476
(b)
Number of boys = 1 p
Number of girls = 1 p + 142
1 p + 1 p + 142 = 476
2 p + 142 = 476
2 p = 476 - 142
2 p = 334
1 p = 334 ÷ 2 = 167
Number of boys
= 1 p
= 167
(c)
Number of girls
= 1 p + 142
= 167 + 142
= 309
Answer(s): (a) 476; (b) 167; (c) 309
