There are twice as many adults as children in a zoo. There are 156 more women than men. If there are 705 people in the zoo,
- 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 + 156 |
|
|
(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 = 705
1 u = 705 ÷ 3 = 235
(a)
Number of adults
= 2 u
= 2 x 235
= 470
(b)
Number of men = 1 p
Number of women = 1 p + 156
1 p + 1 p + 156 = 470
2 p + 156 = 470
2 p = 470 - 156
2 p = 314
1 p = 314 ÷ 2 = 157
Number of men
= 1 p
= 157
(c)
Number of women
= 1 p + 156
= 157 + 156
= 313
Answer(s): (a) 470; (b) 157; (c) 313
