There are twice as many adults as children in a zoo. There are 180 more women than men. If there are 201 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 + 180 |
|
|
(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 = 201
1 u = 201 ÷ 3 = 67
(a)
Number of adults
= 2 u
= 2 x 67
= 134
(b)
Number of men = 1 p
Number of women = 1 p + 180
1 p + 1 p + 180 = 134
2 p + 180 = 134
2 p = 134 - 180
2 p = -46
1 p = -46 ÷ 2 = -23
Number of men
= 1 p
= -23
(c)
Number of women
= 1 p + 180
= -23 + 180
= 157
Answer(s): (a) 134; (b) -23; (c) 157
