PSLE A caterer prepares samosas for some people attending the baby shower party. The ratio of the number of adults to the number of children attending is 4 : 9. Among the children, the ratio of the number of girls to the boys is 5 : 4. A total of 282 samosas are prepared so that each adult gets 5 samosas and each child gets 3.
- 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 |
4
|
9
|
13
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
5
|
4
|
|
Number |
4 u |
5 u |
4 u |
13 u |
Value |
5 |
3 |
3 |
|
Total value |
20 u |
15 u |
12 u |
47 u |
(a)
Fraction of the people that are children =
913 Fraction of the children that are boys =
49 Fraction of the people that are boys
=
913 x
49 =
413 (b)
Total number of samosas
= (4 u x 5) + (9 u x 3)
= 20 u + 27 u
= 47 u
47 u = 282
1 u = 282 ÷ 47 = 6
Number of children
= 5 u + 4 u
= 9 u
= 9 x 6
= 54
Answer(s): (a)
413; (b) 54