PSLEA caterer prepares hot dogs for some people attending the wedding party. The ratio of the number of children to the number of adults attending is 7 : 9. Among the adults, the ratio of the number of men to the women is 5 : 4. A total of 184 hot dogs are prepared so that each child gets 2 hot dogs and each adult gets 1.
- 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 |
7
|
9
|
16
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
5
|
4
|
|
Number |
7 u |
5 u |
4 u |
16 u |
Value |
2 |
1 |
1 |
|
Total value |
14 u |
5 u |
4 u |
23 u |
(a)
Fraction of the people that are adults =
916 Fraction of the adults that are men =
59 Fraction of the people that are women
=
916 x
59 =
516 (b)
Total number of hot dogs
= (7 u x 2) + (9 u x 1)
= 14 u + 9 u
= 23 u
23 u = 184
1 u = 184 ÷ 23 = 8
Number of children
= 7 u
= 7 x 8
= 56
Answer(s): (a)
516; (b) 56