There are four times as many adults as children in a concert hall. There are 100 more women than men. If there are 605 people in the concert hall,
- how many adults are there?
- how many men are there?
- how many women are there?
| Adults |
Children |
Total |
| 4 u |
1 u |
5 u |
| Men |
Women |
|
|
| 1 p |
1 p + 100 |
|
|
(a)
Number of children = 1 u
Number of adults = 4 x 1 u = 4 u
Total number of people
= 4 u + 1 u
= 5 u
5 u = 605
1 u = 605 ÷ 5 = 121
(a)
Number of adults
= 4 u
= 4 x 121
= 484
(b)
Number of men = 1 p
Number of women = 1 p + 100
1 p + 1 p + 100 = 484
2 p + 100 = 484
2 p = 484 - 100
2 p = 384
1 p = 384 ÷ 2 = 192
Number of men
= 1 p
= 192
(c)
Number of women
= 1 p + 100
= 192 + 100
= 292
Answer(s): (a) 484; (b) 192; (c) 292
