In a school, there is a total of 2150 people.
30% 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 |
3x5 |
7x5 |
10x5 |
|
Men |
Women |
|
|
1x7 |
4x7 |
|
15 u |
7 u |
28 u |
50 u |
(a)
30% =
30100 =
310 Children : Adults
3 : 10 - 3
3 : 7
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 7 and 5.
LCM of 7 and 5 = 35
Percentage of the people that are men
=
750 x 100%
= 14%
(b)
Total number of people = 50 u
50 u = 2150
1 u = 2150 ÷ 50 = 43
Number of women
= 28 u
= 28 x 43
= 1204
Answer(s): (a) 14%; (b) 1204