PSLEA caterer prepares fish cakes for some people attending the wedding party. The ratio of the number of adults to the number of children attending is 4 : 13. Among the children, the ratio of the number of boys to the girls is 8 : 5. A total of 231 fish cakes are prepared so that each adult gets 2 fish cakes and each child gets 1.
- 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 |
4
|
13
|
17
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
8
|
5
|
|
Number |
4 u |
8 u |
5 u |
17 u |
Value |
2 |
1 |
1 |
|
Total value |
8 u |
8 u |
5 u |
21 u |
(a)
Fraction of the people that are children =
1317 Fraction of the children that are boys =
813 Fraction of the people that are girls
=
1317 x
813 =
817 (b)
Total number of fish cakes
= (4 u x 2) + (13 u x 1)
= 8 u + 13 u
= 21 u
21 u = 231
1 u = 231 ÷ 21 = 11
Number of adults
= 4 u
= 4 x 11
= 44
Answer(s): (a)
817; (b) 44