There are five times as many adults as children in a tourist attraction. There are 127 more men than women. If there are 210 people in the tourist attraction,
- how many adults are there?
- how many women are there?
- how many men are there?
Adults |
Children |
Total |
5 u |
1 u |
6 u |
Women |
Men |
|
|
1 p |
1 p + 127 |
|
|
(a)
Number of children = 1 u
Number of adults = 5 x 1 u = 5 u
Total number of people
= 5 u + 1 u
= 6 u
6 u = 210
1 u = 210 ÷ 6 = 35
(a)
Number of adults
= 5 u
= 5 x 35
= 175
(b)
Number of women = 1 p
Number of men = 1 p + 127
1 p + 1 p + 127 = 175
2 p + 127 = 175
2 p = 175 - 127
2 p = 48
1 p = 48 ÷ 2 = 24
Number of women
= 1 p
= 24
(c)
Number of men
= 1 p + 127
= 24 + 127
= 151
Answer(s): (a) 175; (b) 24; (c) 151