There are five times as many adults as children in a safari park. There are 147 more women than men. If there are 582 people in the safari park,
- how many adults are there?
- how many men are there?
- how many women are there?
| Adults |
Children |
Total |
| 5 u |
1 u |
6 u |
| Men |
Women |
|
|
| 1 p |
1 p + 147 |
|
|
(a)
Number of children = 1 u
Number of adults = 5 x 1 u = 5 u
Total number of people
= 5 u + 1 u
= 6 u
6 u = 582
1 u = 582 ÷ 6 = 97
(a)
Number of adults
= 5 u
= 5 x 97
= 485
(b)
Number of men = 1 p
Number of women = 1 p + 147
1 p + 1 p + 147 = 485
2 p + 147 = 485
2 p = 485 - 147
2 p = 338
1 p = 338 ÷ 2 = 169
Number of men
= 1 p
= 169
(c)
Number of women
= 1 p + 147
= 169 + 147
= 316
Answer(s): (a) 485; (b) 169; (c) 316
