There are seven times as many children as adults in a park. There are 141 more girls than boys. If there are 408 people in the park,
- how many children are there?
- how many boys are there?
- how many girls are there?
| Children |
Adults |
Total |
| 7 u |
1 u |
8 u |
| Boys |
Girls |
|
|
| 1 p |
1 p + 141 |
|
|
(a)
Number of adults = 1 u
Number of children = 7 x 1 u = 7 u
Total number of people
= 7 u + 1 u
= 8 u
8 u = 408
1 u = 408 ÷ 8 = 51
(a)
Number of children
= 7 u
= 7 x 51
= 357
(b)
Number of boys = 1 p
Number of girls = 1 p + 141
1 p + 1 p + 141 = 357
2 p + 141 = 357
2 p = 357 - 141
2 p = 216
1 p = 216 ÷ 2 = 108
Number of boys
= 1 p
= 108
(c)
Number of girls
= 1 p + 141
= 108 + 141
= 249
Answer(s): (a) 357; (b) 108; (c) 249
