There are twice as many adults as children in a tourist attraction. There are 140 more women than men. If there are 648 people in the tourist attraction,
- 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 + 140 |
|
|
(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 = 648
1 u = 648 ÷ 3 = 216
(a)
Number of adults
= 2 u
= 2 x 216
= 432
(b)
Number of men = 1 p
Number of women = 1 p + 140
1 p + 1 p + 140 = 432
2 p + 140 = 432
2 p = 432 - 140
2 p = 292
1 p = 292 ÷ 2 = 146
Number of men
= 1 p
= 146
(c)
Number of women
= 1 p + 140
= 146 + 140
= 286
Answer(s): (a) 432; (b) 146; (c) 286
