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 4 : 7. Among the children, the ratio of the number of girls to the boys is 4 : 3. A total of 45 samosas are prepared so that each adult gets 2 samosas and each child gets 1.
- 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
|
7
|
11
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
4
|
3
|
|
Number |
4 u |
4 u |
3 u |
11 u |
Value |
2 |
1 |
1 |
|
Total value |
8 u |
4 u |
3 u |
15 u |
(a)
Fraction of the people that are children =
711 Fraction of the children that are boys =
37 Fraction of the people that are boys
=
711 x
37 =
311 (b)
Total number of samosas
= (4 u x 2) + (7 u x 1)
= 8 u + 7 u
= 15 u
15 u = 45
1 u = 45 ÷ 15 = 3
Number of children
= 4 u + 3 u
= 7 u
= 7 x 3
= 21
Answer(s): (a)
311; (b) 21