There are four times as many children as adults in a park. There are 120 more girls than boys. If there are 730 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 + 120 |
|
|
(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 = 730
1 u = 730 ÷ 5 = 146
(a)
Number of children
= 4 u
= 4 x 146
= 584
(b)
Number of boys = 1 p
Number of girls = 1 p + 120
1 p + 1 p + 120 = 584
2 p + 120 = 584
2 p = 584 - 120
2 p = 464
1 p = 464 ÷ 2 = 232
Number of boys
= 1 p
= 232
(c)
Number of girls
= 1 p + 120
= 232 + 120
= 352
Answer(s): (a) 584; (b) 232; (c) 352
