There are twice as many adults as children in a museum. There are 144 more women than men. If there are 549 people in the museum,
- how many adults are there?
- how many men are there?
- how many women are there?
| Adults |
Children |
Total |
| 2 u |
1 u |
3 u |
| Men |
Women |
|
|
| 1 p |
1 p + 144 |
|
|
(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 = 549
1 u = 549 ÷ 3 = 183
(a)
Number of adults
= 2 u
= 2 x 183
= 366
(b)
Number of men = 1 p
Number of women = 1 p + 144
1 p + 1 p + 144 = 366
2 p + 144 = 366
2 p = 366 - 144
2 p = 222
1 p = 222 ÷ 2 = 111
Number of men
= 1 p
= 111
(c)
Number of women
= 1 p + 144
= 111 + 144
= 255
Answer(s): (a) 366; (b) 111; (c) 255
