There are seven times as many adults as children in a park. There are 187 more women than men. If there are 296 people in the park,
- how many adults are there?
- how many men are there?
- how many women are there?
| Adults |
Children |
Total |
| 7 u |
1 u |
8 u |
| Men |
Women |
|
|
| 1 p |
1 p + 187 |
|
|
(a)
Number of children = 1 u
Number of adults = 7 x 1 u = 7 u
Total number of people
= 7 u + 1 u
= 8 u
8 u = 296
1 u = 296 ÷ 8 = 37
(a)
Number of adults
= 7 u
= 7 x 37
= 259
(b)
Number of men = 1 p
Number of women = 1 p + 187
1 p + 1 p + 187 = 259
2 p + 187 = 259
2 p = 259 - 187
2 p = 72
1 p = 72 ÷ 2 = 36
Number of men
= 1 p
= 36
(c)
Number of women
= 1 p + 187
= 36 + 187
= 223
Answer(s): (a) 259; (b) 36; (c) 223
