PSLEA caterer prepares fish cakes for some people attending the birthday party. The ratio of the number of adults to the number of children attending is 3 : 7. Among the children, the ratio of the number of boys to the girls is 3 : 4. A total of 46 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 adults are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
3
|
7
|
10
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
3
|
4
|
|
Number |
3 u |
3 u |
4 u |
10 u |
Value |
3 |
2 |
2 |
|
Total value |
9 u |
6 u |
8 u |
23 u |
(a)
Fraction of the people that are children =
710 Fraction of the children that are boys =
37 Fraction of the people that are girls
=
710 x
37 =
310 (b)
Total number of fish cakes
= (3 u x 3) + (7 u x 2)
= 9 u + 14 u
= 23 u
23 u = 46
1 u = 46 ÷ 23 = 2
Number of adults
= 3 u
= 3 x 2
= 6
Answer(s): (a)
310; (b) 6