There are twice as many adults as children in a bird park. There are 166 more men than women. If there are 432 people in the bird park,
- how many adults are there?
- how many women are there?
- how many men are there?
| Adults |
Children |
Total |
| 2 u |
1 u |
3 u |
| Women |
Men |
|
|
| 1 p |
1 p + 166 |
|
|
(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 = 432
1 u = 432 ÷ 3 = 144
(a)
Number of adults
= 2 u
= 2 x 144
= 288
(b)
Number of women = 1 p
Number of men = 1 p + 166
1 p + 1 p + 166 = 288
2 p + 166 = 288
2 p = 288 - 166
2 p = 122
1 p = 122 ÷ 2 = 61
Number of women
= 1 p
= 61
(c)
Number of men
= 1 p + 166
= 61 + 166
= 227
Answer(s): (a) 288; (b) 61; (c) 227
