PSLE A caterer prepares gyozas for some people attending the birthday 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 3 : 5. A total of 144 gyozas are prepared so that each child gets 4 gyozas 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 |
3
|
8
|
11
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
3
|
5
|
|
Number |
3 u |
3 u |
5 u |
11 u |
Value |
4 |
3 |
3 |
|
Total value |
12 u |
9 u |
15 u |
36 u |
(a)
Fraction of the people that are adults =
811 Fraction of the adults that are men =
58 Fraction of the people that are men
=
811 x
58 =
511 (b)
Total number of gyozas
= (3 u x 4) + (8 u x 3)
= 12 u + 24 u
= 36 u
36 u = 144
1 u = 144 ÷ 36 = 4
Number of adults
= 3 u + 5 u
= 8 u
= 8 x 4
= 32
Answer(s): (a)
511; (b) 32