There are five times as many adults as children in a park. There are 64 more women than men. If there are 516 people in the 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 + 64 |
|
|
(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 = 516
1 u = 516 ÷ 6 = 86
(a)
Number of adults
= 5 u
= 5 x 86
= 430
(b)
Number of men = 1 p
Number of women = 1 p + 64
1 p + 1 p + 64 = 430
2 p + 64 = 430
2 p = 430 - 64
2 p = 366
1 p = 366 ÷ 2 = 183
Number of men
= 1 p
= 183
(c)
Number of women
= 1 p + 64
= 183 + 64
= 247
Answer(s): (a) 430; (b) 183; (c) 247