There are five times as many adults as children in a stadium. There are 199 more men than women. If there are 702 people in the stadium,
- 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 + 199 |
|
|
(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 = 702
1 u = 702 ÷ 6 = 117
(a)
Number of adults
= 5 u
= 5 x 117
= 585
(b)
Number of women = 1 p
Number of men = 1 p + 199
1 p + 1 p + 199 = 585
2 p + 199 = 585
2 p = 585 - 199
2 p = 386
1 p = 386 ÷ 2 = 193
Number of women
= 1 p
= 193
(c)
Number of men
= 1 p + 199
= 193 + 199
= 392
Answer(s): (a) 585; (b) 193; (c) 392