There are thrice as many adults as children in a tourist attraction. There are 107 more women than men. If there are 492 people in the tourist attraction,
- how many adults are there?
- how many men are there?
- how many women are there?
| Adults |
Children |
Total |
| 3 u |
1 u |
4 u |
| Men |
Women |
|
|
| 1 p |
1 p + 107 |
|
|
(a)
Number of children = 1 u
Number of adults = 3 x 1 u = 3 u
Total number of people
= 3 u + 1 u
= 4 u
4 u = 492
1 u = 492 ÷ 4 = 123
(a)
Number of adults
= 3 u
= 3 x 123
= 369
(b)
Number of men = 1 p
Number of women = 1 p + 107
1 p + 1 p + 107 = 369
2 p + 107 = 369
2 p = 369 - 107
2 p = 262
1 p = 262 ÷ 2 = 131
Number of men
= 1 p
= 131
(c)
Number of women
= 1 p + 107
= 131 + 107
= 238
Answer(s): (a) 369; (b) 131; (c) 238
