PSLE A caterer prepares samosas for some people attending the birthday party. The ratio of the number of adults to the number of children attending is 2 : 5. Among the children, the ratio of the number of girls to the boys is 4 : 1. A total of 144 samosas are prepared so that each adult gets 4 samosas and each child gets 2.
- What fraction of the people attending the party are boys?
- How many children are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
2
|
5
|
7
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
4
|
1
|
|
Number |
2 u |
4 u |
1 u |
7 u |
Value |
4 |
2 |
2 |
|
Total value |
8 u |
8 u |
2 u |
18 u |
(a)
Fraction of the people that are children =
57 Fraction of the children that are boys =
15 Fraction of the people that are boys
=
57 x
15 =
17 (b)
Total number of samosas
= (2 u x 4) + (5 u x 2)
= 8 u + 10 u
= 18 u
18 u = 144
1 u = 144 ÷ 18 = 8
Number of children
= 4 u + 1 u
= 5 u
= 5 x 8
= 40
Answer(s): (a)
17; (b) 40