PSLEA caterer prepares samosas for some people attending the anniversary party. The ratio of the number of adults to the number of children attending is 2 : 3. Among the children, the ratio of the number of girls to the boys is 2 : 1. A total of 72 samosas are prepared so that each adult gets 3 samosas and each child gets 2.
- What fraction of the people attending the party are girls?
- How many adults are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
2
|
3
|
5
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
2
|
1
|
|
Number |
2 u |
2 u |
1 u |
5 u |
Value |
3 |
2 |
2 |
|
Total value |
6 u |
4 u |
2 u |
12 u |
(a)
Fraction of the people that are children =
35 Fraction of the children that are girls =
23 Fraction of the people that are boys
=
35 x
23 =
25 (b)
Total number of samosas
= (2 u x 3) + (3 u x 2)
= 6 u + 6 u
= 12 u
12 u = 72
1 u = 72 ÷ 12 = 6
Number of adults
= 2 u
= 2 x 6
= 12
Answer(s): (a)
25; (b) 12