PSLE A caterer prepares fish cakes for some people attending the baby shower 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 5 : 2. A total of 286 fish cakes are prepared so that each adult gets 3 fish cakes 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 |
4
|
7
|
11
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
5
|
2
|
|
Number |
4 u |
5 u |
2 u |
11 u |
Value |
3 |
2 |
2 |
|
Total value |
12 u |
10 u |
4 u |
26 u |
(a)
Fraction of the people that are children =
711 Fraction of the children that are boys =
27 Fraction of the people that are boys
=
711 x
27 =
211 (b)
Total number of fish cakes
= (4 u x 3) + (7 u x 2)
= 12 u + 14 u
= 26 u
26 u = 286
1 u = 286 ÷ 26 = 11
Number of children
= 5 u + 2 u
= 7 u
= 7 x 11
= 77
Answer(s): (a)
211; (b) 77