There are five times as many adults as children in a park. There are 132 more women than men. If there are 648 people in the 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 + 132 |
|
|
(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 = 648
1 u = 648 ÷ 6 = 108
(a)
Number of adults
= 5 u
= 5 x 108
= 540
(b)
Number of men = 1 p
Number of women = 1 p + 132
1 p + 1 p + 132 = 540
2 p + 132 = 540
2 p = 540 - 132
2 p = 408
1 p = 408 ÷ 2 = 204
Number of men
= 1 p
= 204
(c)
Number of women
= 1 p + 132
= 204 + 132
= 336
Answer(s): (a) 540; (b) 204; (c) 336
