PSLEA caterer prepares chicken wings for some people attending the wedding party. The ratio of the number of children to the number of adults attending is 2 : 3. Among the adults, the ratio of the number of men to the women is 2 : 1. A total of 60 chicken wings are prepared so that each child gets 3 chicken wings and each adult gets 2.
- What fraction of the people attending the party are men?
- How many children are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
2
|
3
|
5
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
2
|
1
|
|
Number |
2 u |
2 u |
1 u |
5 u |
Value |
3 |
2 |
2 |
|
Total value |
6 u |
4 u |
2 u |
12 u |
(a)
Fraction of the people that are adults =
35 Fraction of the adults that are men =
23 Fraction of the people that are women
=
35 x
23 =
25 (b)
Total number of chicken wings
= (2 u x 3) + (3 u x 2)
= 6 u + 6 u
= 12 u
12 u = 60
1 u = 60 ÷ 12 = 5
Number of children
= 2 u
= 2 x 5
= 10
Answer(s): (a)
25; (b) 10