PSLEA caterer prepares hot dogs for some people attending the baby shower party. The ratio of the number of children to the number of adults attending is 3 : 8. Among the adults, the ratio of the number of women to the men is 7 : 1. A total of 252 hot dogs are prepared so that each child gets 4 hot dogs and each adult gets 3.
- 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 |
3
|
8
|
11
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
7
|
1
|
|
Number |
3 u |
7 u |
1 u |
11 u |
Value |
4 |
3 |
3 |
|
Total value |
12 u |
21 u |
3 u |
36 u |
(a)
Fraction of the people that are adults =
811 Fraction of the adults that are women =
78 Fraction of the people that are men
=
811 x
78 =
711 (b)
Total number of hot dogs
= (3 u x 4) + (8 u x 3)
= 12 u + 24 u
= 36 u
36 u = 252
1 u = 252 ÷ 36 = 7
Number of children
= 3 u
= 3 x 7
= 21
Answer(s): (a)
711; (b) 21