There are twice as many adults as children in a tourist attraction. There are 82 more women than men. If there are 399 people in the tourist attraction,
- 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 + 82 |
|
|
(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 = 399
1 u = 399 ÷ 3 = 133
(a)
Number of adults
= 2 u
= 2 x 133
= 266
(b)
Number of men = 1 p
Number of women = 1 p + 82
1 p + 1 p + 82 = 266
2 p + 82 = 266
2 p = 266 - 82
2 p = 184
1 p = 184 ÷ 2 = 92
Number of men
= 1 p
= 92
(c)
Number of women
= 1 p + 82
= 92 + 82
= 174
Answer(s): (a) 266; (b) 92; (c) 174