There are twice as many adults as children in a park. There are 130 more women than men. If there are 690 people in the park,
- how many adults are there?
- how many men are there?
- how many women are there?
| Adults |
Children |
Total |
| 2 u |
1 u |
3 u |
| Men |
Women |
|
|
| 1 p |
1 p + 130 |
|
|
(a)
Number of children = 1 u
Number of adults = 2 x 1 u = 2 u
Total number of people
= 2 u + 1 u
= 3 u
3 u = 690
1 u = 690 ÷ 3 = 230
(a)
Number of adults
= 2 u
= 2 x 230
= 460
(b)
Number of men = 1 p
Number of women = 1 p + 130
1 p + 1 p + 130 = 460
2 p + 130 = 460
2 p = 460 - 130
2 p = 330
1 p = 330 ÷ 2 = 165
Number of men
= 1 p
= 165
(c)
Number of women
= 1 p + 130
= 165 + 130
= 295
Answer(s): (a) 460; (b) 165; (c) 295
