PSLEA caterer prepares chicken wings for some people attending the anniversary party. The ratio of the number of children to the number of adults attending is 1 : 5. Among the adults, the ratio of the number of women to the men is 1 : 4. A total of 84 chicken wings are prepared so that each child gets 4 chicken wings and each adult gets 2.
- What fraction of the people attending the party are women?
- How many children are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
1
|
5
|
6
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
1
|
4
|
|
Number |
1 u |
1 u |
4 u |
6 u |
Value |
4 |
2 |
2 |
|
Total value |
4 u |
2 u |
8 u |
14 u |
(a)
Fraction of the people that are adults =
56 Fraction of the adults that are women =
15 Fraction of the people that are men
=
56 x
15 =
16 (b)
Total number of chicken wings
= (1 u x 4) + (5 u x 2)
= 4 u + 10 u
= 14 u
14 u = 84
1 u = 84 ÷ 14 = 6
Number of children
= 1 u
= 1 x 6
= 6
Answer(s): (a)
16; (b) 6