PSLEA caterer prepares chicken wings for some people attending the birthday party. The ratio of the number of adults to the number of children attending is 1 : 7. Among the children, the ratio of the number of girls to the boys is 3 : 4. A total of 85 chicken wings are prepared so that each adult gets 3 chicken wings 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 |
1
|
7
|
8
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
3
|
4
|
|
Number |
1 u |
3 u |
4 u |
8 u |
Value |
3 |
2 |
2 |
|
Total value |
3 u |
6 u |
8 u |
17 u |
(a)
Fraction of the people that are children =
78 Fraction of the children that are girls =
37 Fraction of the people that are boys
=
78 x
37 =
38 (b)
Total number of chicken wings
= (1 u x 3) + (7 u x 2)
= 3 u + 14 u
= 17 u
17 u = 85
1 u = 85 ÷ 17 = 5
Number of adults
= 1 u
= 1 x 5
= 5
Answer(s): (a)
38; (b) 5