There are seven times as many adults as children in a bird park. There are 145 more men than women. If there are 760 people in the bird park,
- how many adults are there?
- how many women are there?
- how many men are there?
| Adults |
Children |
Total |
| 7 u |
1 u |
8 u |
| Women |
Men |
|
|
| 1 p |
1 p + 145 |
|
|
(a)
Number of children = 1 u
Number of adults = 7 x 1 u = 7 u
Total number of people
= 7 u + 1 u
= 8 u
8 u = 760
1 u = 760 ÷ 8 = 95
(a)
Number of adults
= 7 u
= 7 x 95
= 665
(b)
Number of women = 1 p
Number of men = 1 p + 145
1 p + 1 p + 145 = 665
2 p + 145 = 665
2 p = 665 - 145
2 p = 520
1 p = 520 ÷ 2 = 260
Number of women
= 1 p
= 260
(c)
Number of men
= 1 p + 145
= 260 + 145
= 405
Answer(s): (a) 665; (b) 260; (c) 405
