There are twice as many adults as children in a museum. There are 124 more men than women. If there are 453 people in the museum,
- 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 + 124 |
|
|
(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 = 453
1 u = 453 ÷ 3 = 151
(a)
Number of adults
= 2 u
= 2 x 151
= 302
(b)
Number of women = 1 p
Number of men = 1 p + 124
1 p + 1 p + 124 = 302
2 p + 124 = 302
2 p = 302 - 124
2 p = 178
1 p = 178 ÷ 2 = 89
Number of women
= 1 p
= 89
(c)
Number of men
= 1 p + 124
= 89 + 124
= 213
Answer(s): (a) 302; (b) 89; (c) 213
