PSLEA 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 1 : 9. Among the children, the ratio of the number of boys to the girls is 7 : 2. A total of 155 fish cakes are prepared so that each adult gets 4 fish cakes and each child gets 3.
- 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 |
1
|
9
|
10
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
7
|
2
|
|
Number |
1 u |
7 u |
2 u |
10 u |
Value |
4 |
3 |
3 |
|
Total value |
4 u |
21 u |
6 u |
31 u |
(a)
Fraction of the people that are children =
910 Fraction of the children that are boys =
79 Fraction of the people that are girls
=
910 x
79 =
710 (b)
Total number of fish cakes
= (1 u x 4) + (9 u x 3)
= 4 u + 27 u
= 31 u
31 u = 155
1 u = 155 ÷ 31 = 5
Number of adults
= 1 u
= 1 x 5
= 5
Answer(s): (a)
710; (b) 5