There are thrice as many children as adults in a safari park. There are 75 more girls than boys. If there are 364 people in the safari park,
- how many children are there?
- how many boys are there?
- how many girls are there?
| Children |
Adults |
Total |
| 3 u |
1 u |
4 u |
| Boys |
Girls |
|
|
| 1 p |
1 p + 75 |
|
|
(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 = 364
1 u = 364 ÷ 4 = 91
(a)
Number of children
= 3 u
= 3 x 91
= 273
(b)
Number of boys = 1 p
Number of girls = 1 p + 75
1 p + 1 p + 75 = 273
2 p + 75 = 273
2 p = 273 - 75
2 p = 198
1 p = 198 ÷ 2 = 99
Number of boys
= 1 p
= 99
(c)
Number of girls
= 1 p + 75
= 99 + 75
= 174
Answer(s): (a) 273; (b) 99; (c) 174
