In a school, there is a total of 650 people.
40% are children.
The rest are adults.
The number of men and women is in the ratio of 3 : 7.
- What percentage of the people are men?
- How many women are there?
Children |
Adults |
Total |
2x10 |
3x10 |
5x10 |
|
Men |
Women |
|
|
3x3 |
7x3 |
|
20 u |
9 u |
21 u |
50 u |
(a)
40% =
40100 =
25 Children : Adults
2 : 5 - 2
2 : 3
Men : Women : Adults
3 : 7 : 10
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 3 and 10.
LCM of 3 and 10 = 30
Percentage of the people that are men
=
950 x 100%
= 18%
(b)
Total number of people = 50 u
50 u = 650
1 u = 650 ÷ 50 = 13
Number of women
= 21 u
= 21 x 13
= 273
Answer(s): (a) 18%; (b) 273