There are twice as many adults as children in a bird park. There are 122 more women than men. If there are 477 people in the bird 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 + 122 |
|
|
(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 = 477
1 u = 477 ÷ 3 = 159
(a)
Number of adults
= 2 u
= 2 x 159
= 318
(b)
Number of men = 1 p
Number of women = 1 p + 122
1 p + 1 p + 122 = 318
2 p + 122 = 318
2 p = 318 - 122
2 p = 196
1 p = 196 ÷ 2 = 98
Number of men
= 1 p
= 98
(c)
Number of women
= 1 p + 122
= 98 + 122
= 220
Answer(s): (a) 318; (b) 98; (c) 220
