There are five times as many adults as children in a theme park. There are 59 more women than men. If there are 714 people in the theme park,
- how many adults are there?
- how many men are there?
- how many women are there?
| Adults |
Children |
Total |
| 5 u |
1 u |
6 u |
| Men |
Women |
|
|
| 1 p |
1 p + 59 |
|
|
(a)
Number of children = 1 u
Number of adults = 5 x 1 u = 5 u
Total number of people
= 5 u + 1 u
= 6 u
6 u = 714
1 u = 714 ÷ 6 = 119
(a)
Number of adults
= 5 u
= 5 x 119
= 595
(b)
Number of men = 1 p
Number of women = 1 p + 59
1 p + 1 p + 59 = 595
2 p + 59 = 595
2 p = 595 - 59
2 p = 536
1 p = 536 ÷ 2 = 268
Number of men
= 1 p
= 268
(c)
Number of women
= 1 p + 59
= 268 + 59
= 327
Answer(s): (a) 595; (b) 268; (c) 327
