In a school, there is a total of 2000 people.
10% are children.
The rest are adults.
The number of men and women is in the ratio of 1 : 9.
- What percentage of the people are men?
- How many women are there?
Children |
Adults |
Total |
1x10 |
9x10 |
10x10 |
|
Men |
Women |
|
|
1x9 |
9x9 |
|
10 u |
9 u |
81 u |
100 u |
(a)
10% =
10100 =
110 Children : Adults
1 : 10 - 1
1 : 9
Men : Women : Adults
1 : 9 : 10
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 9 and 10.
LCM of 9 and 10 = 90
Percentage of the people that are men
=
9100 x 100%
= 9%
(b)
Total number of people = 100 u
100 u = 2000
1 u = 2000 ÷ 100 = 20
Number of women
= 81 u
= 81 x 20
= 1620
Answer(s): (a) 9%; (b) 1620