PSLEA caterer prepares seaweed chickens for some people attending the anniversary party. The ratio of the number of adults to the number of children attending is 3 : 8. Among the children, the ratio of the number of boys to the girls is 3 : 5. A total of 429 seaweed chickens are prepared so that each adult gets 5 seaweed chickens 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 |
3
|
8
|
11
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
3
|
5
|
|
Number |
3 u |
3 u |
5 u |
11 u |
Value |
5 |
3 |
3 |
|
Total value |
15 u |
9 u |
15 u |
39 u |
(a)
Fraction of the people that are children =
811 Fraction of the children that are boys =
38 Fraction of the people that are girls
=
811 x
38 =
311 (b)
Total number of seaweed chickens
= (3 u x 5) + (8 u x 3)
= 15 u + 24 u
= 39 u
39 u = 429
1 u = 429 ÷ 39 = 11
Number of adults
= 3 u
= 3 x 11
= 33
Answer(s): (a)
311; (b) 33