PSLE A caterer prepares fish cakes for some people attending the anniversary party. The ratio of the number of children to the number of adults attending is 2 : 3. Among the adults, the ratio of the number of women to the men is 2 : 1. A total of 102 fish cakes are prepared so that each child gets 4 fish cakes and each adult gets 3.
- 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 |
2
|
3
|
5
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
2
|
1
|
|
Number |
2 u |
2 u |
1 u |
5 u |
Value |
4 |
3 |
3 |
|
Total value |
8 u |
6 u |
3 u |
17 u |
(a)
Fraction of the people that are adults =
35 Fraction of the adults that are men =
13 Fraction of the people that are men
=
35 x
13 =
15 (b)
Total number of fish cakes
= (2 u x 4) + (3 u x 3)
= 8 u + 9 u
= 17 u
17 u = 102
1 u = 102 ÷ 17 = 6
Number of adults
= 2 u + 1 u
= 3 u
= 3 x 6
= 18
Answer(s): (a)
15; (b) 18