There are four times as many adults as children in a bird park. There are 168 more men than women. If there are 625 people in the bird park,
- how many adults are there?
- how many women are there?
- how many men are there?
| Adults |
Children |
Total |
| 4 u |
1 u |
5 u |
| Women |
Men |
|
|
| 1 p |
1 p + 168 |
|
|
(a)
Number of children = 1 u
Number of adults = 4 x 1 u = 4 u
Total number of people
= 4 u + 1 u
= 5 u
5 u = 625
1 u = 625 ÷ 5 = 125
(a)
Number of adults
= 4 u
= 4 x 125
= 500
(b)
Number of women = 1 p
Number of men = 1 p + 168
1 p + 1 p + 168 = 500
2 p + 168 = 500
2 p = 500 - 168
2 p = 332
1 p = 332 ÷ 2 = 166
Number of women
= 1 p
= 166
(c)
Number of men
= 1 p + 168
= 166 + 168
= 334
Answer(s): (a) 500; (b) 166; (c) 334
