There are five times as many adults as children in a concert hall. There are 148 more men than women. If there are 372 people in the concert hall,
- how many adults are there?
- how many women are there?
- how many men are there?
| Adults |
Children |
Total |
| 5 u |
1 u |
6 u |
| Women |
Men |
|
|
| 1 p |
1 p + 148 |
|
|
(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 = 372
1 u = 372 ÷ 6 = 62
(a)
Number of adults
= 5 u
= 5 x 62
= 310
(b)
Number of women = 1 p
Number of men = 1 p + 148
1 p + 1 p + 148 = 310
2 p + 148 = 310
2 p = 310 - 148
2 p = 162
1 p = 162 ÷ 2 = 81
Number of women
= 1 p
= 81
(c)
Number of men
= 1 p + 148
= 81 + 148
= 229
Answer(s): (a) 310; (b) 81; (c) 229
