There are thrice as many adults as children in a tourist attraction. There are 124 more men than women. If there are 672 people in the tourist attraction,
- how many adults are there?
- how many women are there?
- how many men are there?
| Adults |
Children |
Total |
| 3 u |
1 u |
4 u |
| Women |
Men |
|
|
| 1 p |
1 p + 124 |
|
|
(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 = 672
1 u = 672 ÷ 4 = 168
(a)
Number of adults
= 3 u
= 3 x 168
= 504
(b)
Number of women = 1 p
Number of men = 1 p + 124
1 p + 1 p + 124 = 504
2 p + 124 = 504
2 p = 504 - 124
2 p = 380
1 p = 380 ÷ 2 = 190
Number of women
= 1 p
= 190
(c)
Number of men
= 1 p + 124
= 190 + 124
= 314
Answer(s): (a) 504; (b) 190; (c) 314
