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 2 : 9. Among the adults, the ratio of the number of men to the women is 7 : 2. A total of 111 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 |
2
|
9
|
11
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
7
|
2
|
|
Number |
2 u |
7 u |
2 u |
11 u |
Value |
5 |
3 |
3 |
|
Total value |
10 u |
21 u |
6 u |
37 u |
(a)
Fraction of the people that are adults =
911 Fraction of the adults that are men =
79 Fraction of the people that are women
=
911 x
79 =
711 (b)
Total number of chicken wings
= (2 u x 5) + (9 u x 3)
= 10 u + 27 u
= 37 u
37 u = 111
1 u = 111 ÷ 37 = 3
Number of children
= 2 u
= 2 x 3
= 6
Answer(s): (a)
711; (b) 6