PSLE A caterer prepares fish cakes for some people attending the baby shower party. The ratio of the number of children to the number of adults attending is 2 : 11. Among the adults, the ratio of the number of women to the men is 9 : 2. A total of 180 fish cakes are prepared so that each child gets 2 fish cakes 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 |
2
|
11
|
13
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
9
|
2
|
|
Number |
2 u |
9 u |
2 u |
13 u |
Value |
2 |
1 |
1 |
|
Total value |
4 u |
9 u |
2 u |
15 u |
(a)
Fraction of the people that are adults =
1113 Fraction of the adults that are men =
211 Fraction of the people that are men
=
1113 x
211 =
213 (b)
Total number of fish cakes
= (2 u x 2) + (11 u x 1)
= 4 u + 11 u
= 15 u
15 u = 180
1 u = 180 ÷ 15 = 12
Number of adults
= 9 u + 2 u
= 11 u
= 11 x 12
= 132
Answer(s): (a)
213; (b) 132