PSLE A 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 4 : 13. Among the adults, the ratio of the number of women to the men is 12 : 1. A total of 250 hot dogs are prepared so that each child gets 3 hot dogs and each adult gets 1.
- What fraction of the people attending the party are men?
- How many adults are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
4
|
13
|
17
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
12
|
1
|
|
Number |
4 u |
12 u |
1 u |
17 u |
Value |
3 |
1 |
1 |
|
Total value |
12 u |
12 u |
1 u |
25 u |
(a)
Fraction of the people that are adults =
1317 Fraction of the adults that are men =
113 Fraction of the people that are men
=
1317 x
113 =
117 (b)
Total number of hot dogs
= (4 u x 3) + (13 u x 1)
= 12 u + 13 u
= 25 u
25 u = 250
1 u = 250 ÷ 25 = 10
Number of adults
= 12 u + 1 u
= 13 u
= 13 x 10
= 130
Answer(s): (a)
117; (b) 130