PSLE A caterer prepares hot dogs for some people attending the birthday party. The ratio of the number of children to the number of adults attending is 1 : 2. Among the adults, the ratio of the number of men to the women is 1 : 1. A total of 22 hot dogs are prepared so that each child gets 5 hot dogs and each adult gets 3.
- What fraction of the people attending the party are women?
- How many adults are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
1
|
2
|
3
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
1
|
1
|
|
Number |
1 u |
1 u |
1 u |
3 u |
Value |
5 |
3 |
3 |
|
Total value |
5 u |
3 u |
3 u |
11 u |
(a)
Fraction of the people that are adults =
23 Fraction of the adults that are women =
12 Fraction of the people that are women
=
23 x
12 =
13 (b)
Total number of hot dogs
= (1 u x 5) + (2 u x 3)
= 5 u + 6 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Number of adults
= 1 u + 1 u
= 2 u
= 2 x 2
= 4
Answer(s): (a)
13; (b) 4