There are thrice as many adults as children in a museum. There are 126 more men than women. If there are 624 people in the museum,
- how many adults are there?
- how many women are there?
- how many men are there?
Adults |
Children |
Total |
3 u |
1 u |
4 u |
Women |
Men |
|
|
1 p |
1 p + 126 |
|
|
(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 = 624
1 u = 624 ÷ 4 = 156
(a)
Number of adults
= 3 u
= 3 x 156
= 468
(b)
Number of women = 1 p
Number of men = 1 p + 126
1 p + 1 p + 126 = 468
2 p + 126 = 468
2 p = 468 - 126
2 p = 342
1 p = 342 ÷ 2 = 171
Number of women
= 1 p
= 171
(c)
Number of men
= 1 p + 126
= 171 + 126
= 297
Answer(s): (a) 468; (b) 171; (c) 297