In a school, there is a total of 440 people.
40% are children.
The rest are adults.
The number of women and men is in the ratio of 5 : 7.
- What percentage of the people are women?
- How many men are there?
Children |
Adults |
Total |
2x4 |
3x4 |
5x4 |
|
Women |
Men |
|
|
5x1 |
7x1 |
|
8 u |
5 u |
7 u |
20 u |
(a)
40% =
40100 =
25 Children : Adults
2 : 5 - 2
2 : 3
Women : Men : Adults
5 : 7 : 12
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 3 and 12.
LCM of 3 and 12 = 12
Percentage of the people that are women
=
520 x 100%
= 25%
(b)
Total number of people = 20 u
20 u = 440
1 u = 440 ÷ 20 = 22
Number of men
= 7 u
= 7 x 22
= 154
Answer(s): (a) 25%; (b) 154