PSLEA caterer prepares seaweed chickens for some people attending the baby shower party. The ratio of the number of adults to the number of children attending is 5 : 8. Among the children, the ratio of the number of girls to the boys is 5 : 3. A total of 341 seaweed chickens are prepared so that each adult gets 3 seaweed chickens and each child gets 2.
- What fraction of the people attending the party are girls?
- How many adults are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
5
|
8
|
13
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
5
|
3
|
|
Number |
5 u |
5 u |
3 u |
13 u |
Value |
3 |
2 |
2 |
|
Total value |
15 u |
10 u |
6 u |
31 u |
(a)
Fraction of the people that are children =
813 Fraction of the children that are girls =
58 Fraction of the people that are boys
=
813 x
58 =
513 (b)
Total number of seaweed chickens
= (5 u x 3) + (8 u x 2)
= 15 u + 16 u
= 31 u
31 u = 341
1 u = 341 ÷ 31 = 11
Number of adults
= 5 u
= 5 x 11
= 55
Answer(s): (a)
513; (b) 55