PSLEA caterer prepares chicken wings for some people attending the birthday party. The ratio of the number of children to the number of adults attending is 1 : 3. Among the adults, the ratio of the number of men to the women is 1 : 2. A total of 154 chicken wings are prepared so that each child gets 5 chicken wings and each adult gets 3.
- 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 |
1
|
3
|
4
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
1
|
2
|
|
Number |
1 u |
1 u |
2 u |
4 u |
Value |
5 |
3 |
3 |
|
Total value |
5 u |
3 u |
6 u |
14 u |
(a)
Fraction of the people that are adults =
34 Fraction of the adults that are men =
13 Fraction of the people that are women
=
34 x
13 =
14 (b)
Total number of chicken wings
= (1 u x 5) + (3 u x 3)
= 5 u + 9 u
= 14 u
14 u = 154
1 u = 154 ÷ 14 = 11
Number of children
= 1 u
= 1 x 11
= 11
Answer(s): (a)
14; (b) 11