In a school, there is a total of 2150 people.
40% 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 |
2x10 |
3x10 |
5x10 |
|
Women |
Men |
|
|
3x3 |
7x3 |
|
20 u |
9 u |
21 u |
50 u |
(a)
40% =
40100 =
25 Children : Adults
2 : 5 - 2
2 : 3
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 3 and 10.
LCM of 3 and 10 = 30
Percentage of the people that are women
=
950 x 100%
= 18%
(b)
Total number of people = 50 u
50 u = 2150
1 u = 2150 ÷ 50 = 43
Number of men
= 21 u
= 21 x 43
= 903
Answer(s): (a) 18%; (b) 903