There are twice as many adults as children in a park. There are 52 more women than men. If there are 678 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 + 52 |
|
|
(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 = 678
1 u = 678 ÷ 3 = 226
(a)
Number of adults
= 2 u
= 2 x 226
= 452
(b)
Number of men = 1 p
Number of women = 1 p + 52
1 p + 1 p + 52 = 452
2 p + 52 = 452
2 p = 452 - 52
2 p = 400
1 p = 400 ÷ 2 = 200
Number of men
= 1 p
= 200
(c)
Number of women
= 1 p + 52
= 200 + 52
= 252
Answer(s): (a) 452; (b) 200; (c) 252
