In a school, there is a total of 2600 people.
10% are children.
The rest are adults.
The number of women and men is in the ratio of 3 : 7.
- What percentage of the people are women?
- How many men are there?
Children |
Adults |
Total |
1x10 |
9x10 |
10x10 |
|
Women |
Men |
|
|
3x9 |
7x9 |
|
10 u |
27 u |
63 u |
100 u |
(a)
10% =
10100 =
110 Children : Adults
1 : 10 - 1
1 : 9
Women : Men : Adults
3 : 7 : 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 women
=
27100 x 100%
= 27%
(b)
Total number of people = 100 u
100 u = 2600
1 u = 2600 ÷ 100 = 26
Number of men
= 63 u
= 63 x 26
= 1638
Answer(s): (a) 27%; (b) 1638