There are thrice as many children as adults in a park. There are 179 more boys than girls. If there are 324 people in the park,
- how many children are there?
- how many girls are there?
- how many boys are there?
| Children |
Adults |
Total |
| 3 u |
1 u |
4 u |
| Girls |
Boys |
|
|
| 1 p |
1 p + 179 |
|
|
(a)
Number of adults = 1 u
Number of children = 3 x 1 u = 3 u
Total number of people
= 3 u + 1 u
= 4 u
4 u = 324
1 u = 324 ÷ 4 = 81
(a)
Number of children
= 3 u
= 3 x 81
= 243
(b)
Number of girls = 1 p
Number of boys = 1 p + 179
1 p + 1 p + 179 = 243
2 p + 179 = 243
2 p = 243 - 179
2 p = 64
1 p = 64 ÷ 2 = 32
Number of girls
= 1 p
= 32
(c)
Number of boys
= 1 p + 179
= 32 + 179
= 211
Answer(s): (a) 243; (b) 32; (c) 211
