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 : 10. Among the children, the ratio of the number of boys to the girls is 9 : 1. A total of 87 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 boys?
- How many adults are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
3
|
10
|
13
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
9
|
1
|
|
Number |
3 u |
9 u |
1 u |
13 u |
Value |
3 |
2 |
2 |
|
Total value |
9 u |
18 u |
2 u |
29 u |
(a)
Fraction of the people that are children =
1013 Fraction of the children that are boys =
910 Fraction of the people that are girls
=
1013 x
910 =
913 (b)
Total number of seaweed chickens
= (3 u x 3) + (10 u x 2)
= 9 u + 20 u
= 29 u
29 u = 87
1 u = 87 ÷ 29 = 3
Number of adults
= 3 u
= 3 x 3
= 9
Answer(s): (a)
913; (b) 9