In a school, there is a total of 2050 people.
40% are adults.
The rest are children.
The number of girls and boys is in the ratio of 1 : 9.
- What percentage of the people are girls?
- How many boys are there?
Adults |
Children |
Total |
2x10 |
3x10 |
5x10 |
|
Girls |
Boys |
|
|
1x3 |
9x3 |
|
20 u |
3 u |
27 u |
50 u |
(a)
40% =
40100 =
25 Adults : Children
2 : 5 - 2
2 : 3
Girls : Boys : Children
1 : 9 : 10
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 3 and 10.
LCM of 3 and 10 = 30
Percentage of the people that are girls
=
350 x 100%
= 6%
(b)
Total number of people = 50 u
50 u = 2050
1 u = 2050 ÷ 50 = 41
Number of boys
= 27 u
= 27 x 41
= 1107
Answer(s): (a) 6%; (b) 1107