There are four times as many children as adults in a bird park. There are 76 more boys than girls. If there are 295 people in the bird park,
- how many children are there?
- how many girls are there?
- how many boys are there?
| Children |
Adults |
Total |
| 4 u |
1 u |
5 u |
| Girls |
Boys |
|
|
| 1 p |
1 p + 76 |
|
|
(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 = 295
1 u = 295 ÷ 5 = 59
(a)
Number of children
= 4 u
= 4 x 59
= 236
(b)
Number of girls = 1 p
Number of boys = 1 p + 76
1 p + 1 p + 76 = 236
2 p + 76 = 236
2 p = 236 - 76
2 p = 160
1 p = 160 ÷ 2 = 80
Number of girls
= 1 p
= 80
(c)
Number of boys
= 1 p + 76
= 80 + 76
= 156
Answer(s): (a) 236; (b) 80; (c) 156
