There are twice as many children as adults in a safari park. There are 116 more boys than girls. If there are 201 people in the safari park,
- how many children are there?
- how many girls are there?
- how many boys are there?
| Children |
Adults |
Total |
| 2 u |
1 u |
3 u |
| Girls |
Boys |
|
|
| 1 p |
1 p + 116 |
|
|
(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 = 201
1 u = 201 ÷ 3 = 67
(a)
Number of children
= 2 u
= 2 x 67
= 134
(b)
Number of girls = 1 p
Number of boys = 1 p + 116
1 p + 1 p + 116 = 134
2 p + 116 = 134
2 p = 134 - 116
2 p = 18
1 p = 18 ÷ 2 = 9
Number of girls
= 1 p
= 9
(c)
Number of boys
= 1 p + 116
= 9 + 116
= 125
Answer(s): (a) 134; (b) 9; (c) 125
