There are twice as many children as adults in a safari park. There are 56 more girls than boys. If there are 489 people in the safari park,
- how many children are there?
- how many boys are there?
- how many girls are there?
| Children |
Adults |
Total |
| 2 u |
1 u |
3 u |
| Boys |
Girls |
|
|
| 1 p |
1 p + 56 |
|
|
(a)
Number of adults = 1 u
Number of children = 2 x 1 u = 2 u
Total number of people
= 2 u + 1 u
= 3 u
3 u = 489
1 u = 489 ÷ 3 = 163
(a)
Number of children
= 2 u
= 2 x 163
= 326
(b)
Number of boys = 1 p
Number of girls = 1 p + 56
1 p + 1 p + 56 = 326
2 p + 56 = 326
2 p = 326 - 56
2 p = 270
1 p = 270 ÷ 2 = 135
Number of boys
= 1 p
= 135
(c)
Number of girls
= 1 p + 56
= 135 + 56
= 191
Answer(s): (a) 326; (b) 135; (c) 191
