There are thrice as many adults as children in a concert hall. There are 111 more women than men. If there are 772 people in the concert hall,
- how many adults are there?
- how many men are there?
- how many women are there?
| Adults |
Children |
Total |
| 3 u |
1 u |
4 u |
| Men |
Women |
|
|
| 1 p |
1 p + 111 |
|
|
(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 = 772
1 u = 772 ÷ 4 = 193
(a)
Number of adults
= 3 u
= 3 x 193
= 579
(b)
Number of men = 1 p
Number of women = 1 p + 111
1 p + 1 p + 111 = 579
2 p + 111 = 579
2 p = 579 - 111
2 p = 468
1 p = 468 ÷ 2 = 234
Number of men
= 1 p
= 234
(c)
Number of women
= 1 p + 111
= 234 + 111
= 345
Answer(s): (a) 579; (b) 234; (c) 345
