In a school, there is a total of 2200 people.
10% are children.
The rest are adults.
The number of men and women is in the ratio of 1 : 4.
- What percentage of the people are men?
- How many women are there?
Children |
Adults |
Total |
1x5 |
9x5 |
10x5 |
|
Men |
Women |
|
|
1x9 |
4x9 |
|
5 u |
9 u |
36 u |
50 u |
(a)
10% =
10100 =
110 Children : Adults
1 : 10 - 1
1 : 9
Men : Women : Adults
1 : 4 : 5
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 9 and 5.
LCM of 9 and 5 = 45
Percentage of the people that are men
=
950 x 100%
= 18%
(b)
Total number of people = 50 u
50 u = 2200
1 u = 2200 ÷ 50 = 44
Number of women
= 36 u
= 36 x 44
= 1584
Answer(s): (a) 18%; (b) 1584