PSLEA caterer prepares chicken wings for some people attending the anniversary party. The ratio of the number of adults to the number of children attending is 2 : 11. Among the children, the ratio of the number of girls to the boys is 8 : 3. A total of 473 chicken wings are prepared so that each adult gets 5 chicken wings and each child gets 3.
- 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 |
2
|
11
|
13
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
8
|
3
|
|
Number |
2 u |
8 u |
3 u |
13 u |
Value |
5 |
3 |
3 |
|
Total value |
10 u |
24 u |
9 u |
43 u |
(a)
Fraction of the people that are children =
1113 Fraction of the children that are girls =
811 Fraction of the people that are boys
=
1113 x
811 =
813 (b)
Total number of chicken wings
= (2 u x 5) + (11 u x 3)
= 10 u + 33 u
= 43 u
43 u = 473
1 u = 473 ÷ 43 = 11
Number of adults
= 2 u
= 2 x 11
= 22
Answer(s): (a)
813; (b) 22