In a school, there is a total of 2250 people.
30% are children.
The rest are adults.
The number of women and men is in the ratio of 1 : 4.
- What percentage of the people are women?
- How many men are there?
Children |
Adults |
Total |
3x5 |
7x5 |
10x5 |
|
Women |
Men |
|
|
1x7 |
4x7 |
|
15 u |
7 u |
28 u |
50 u |
(a)
30% =
30100 =
310 Children : Adults
3 : 10 - 3
3 : 7
Women : Men : 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 women
=
750 x 100%
= 14%
(b)
Total number of people = 50 u
50 u = 2250
1 u = 2250 ÷ 50 = 45
Number of men
= 28 u
= 28 x 45
= 1260
Answer(s): (a) 14%; (b) 1260