There are twice as many adults as children in a bird park. There are 74 more women than men. If there are 588 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 + 74 |
|
|
(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 = 588
1 u = 588 ÷ 3 = 196
(a)
Number of adults
= 2 u
= 2 x 196
= 392
(b)
Number of men = 1 p
Number of women = 1 p + 74
1 p + 1 p + 74 = 392
2 p + 74 = 392
2 p = 392 - 74
2 p = 318
1 p = 318 ÷ 2 = 159
Number of men
= 1 p
= 159
(c)
Number of women
= 1 p + 74
= 159 + 74
= 233
Answer(s): (a) 392; (b) 159; (c) 233
