There are thrice as many children as adults in a bird park. There are 175 more boys than girls. If there are 484 people in the bird 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 + 175 |
|
|
(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 = 484
1 u = 484 ÷ 4 = 121
(a)
Number of children
= 3 u
= 3 x 121
= 363
(b)
Number of girls = 1 p
Number of boys = 1 p + 175
1 p + 1 p + 175 = 363
2 p + 175 = 363
2 p = 363 - 175
2 p = 188
1 p = 188 ÷ 2 = 94
Number of girls
= 1 p
= 94
(c)
Number of boys
= 1 p + 175
= 94 + 175
= 269
Answer(s): (a) 363; (b) 94; (c) 269
