In a school, there is a total of 460 people.
30% are children.
The rest are adults.
The number of women and men is in the ratio of 5 : 9.
- What percentage of the people are women?
- How many men are there?
Children |
Adults |
Total |
3x2 |
7x2 |
10x2 |
|
Women |
Men |
|
|
5x1 |
9x1 |
|
6 u |
5 u |
9 u |
20 u |
(a)
30% =
30100 =
310 Children : Adults
3 : 10 - 3
3 : 7
Women : Men : Adults
5 : 9 : 14
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 7 and 14.
LCM of 7 and 14 = 14
Percentage of the people that are women
=
520 x 100%
= 25%
(b)
Total number of people = 20 u
20 u = 460
1 u = 460 ÷ 20 = 23
Number of men
= 9 u
= 9 x 23
= 207
Answer(s): (a) 25%; (b) 207