There are twice as many adults as children in a museum. There are 102 more women than men. If there are 303 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 + 102 |
|
|
(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 = 303
1 u = 303 ÷ 3 = 101
(a)
Number of adults
= 2 u
= 2 x 101
= 202
(b)
Number of men = 1 p
Number of women = 1 p + 102
1 p + 1 p + 102 = 202
2 p + 102 = 202
2 p = 202 - 102
2 p = 100
1 p = 100 ÷ 2 = 50
Number of men
= 1 p
= 50
(c)
Number of women
= 1 p + 102
= 50 + 102
= 152
Answer(s): (a) 202; (b) 50; (c) 152