There are twice as many adults as children in a stadium. There are 108 more men than women. If there are 654 people in the stadium,
- how many adults are there?
- how many women are there?
- how many men are there?
| Adults |
Children |
Total |
| 2 u |
1 u |
3 u |
| Women |
Men |
|
|
| 1 p |
1 p + 108 |
|
|
(a)
Number of children = 1 u
Number of adults = 2 x 1 u = 2 u
Total number of people
= 2 u + 1 u
= 3 u
3 u = 654
1 u = 654 ÷ 3 = 218
(a)
Number of adults
= 2 u
= 2 x 218
= 436
(b)
Number of women = 1 p
Number of men = 1 p + 108
1 p + 1 p + 108 = 436
2 p + 108 = 436
2 p = 436 - 108
2 p = 328
1 p = 328 ÷ 2 = 164
Number of women
= 1 p
= 164
(c)
Number of men
= 1 p + 108
= 164 + 108
= 272
Answer(s): (a) 436; (b) 164; (c) 272
