In a school, there is a total of 4200 people.
30% 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 |
3x10 |
7x10 |
10x10 |
|
Women |
Men |
|
|
3x7 |
7x7 |
|
30 u |
21 u |
49 u |
100 u |
(a)
30% =
30100 =
310 Children : Adults
3 : 10 - 3
3 : 7
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 7 and 10.
LCM of 7 and 10 = 70
Percentage of the people that are women
=
21100 x 100%
= 21%
(b)
Total number of people = 100 u
100 u = 4200
1 u = 4200 ÷ 100 = 42
Number of men
= 49 u
= 49 x 42
= 2058
Answer(s): (a) 21%; (b) 2058