PSLEA caterer prepares gyozas for some people attending the wedding party. The ratio of the number of children to the number of adults attending is 5 : 6. Among the adults, the ratio of the number of men to the women is 5 : 1. A total of 266 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 children are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
5
|
6
|
11
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
5
|
1
|
|
Number |
5 u |
5 u |
1 u |
11 u |
Value |
4 |
3 |
3 |
|
Total value |
20 u |
15 u |
3 u |
38 u |
(a)
Fraction of the people that are adults =
611 Fraction of the adults that are men =
56 Fraction of the people that are women
=
611 x
56 =
511 (b)
Total number of gyozas
= (5 u x 4) + (6 u x 3)
= 20 u + 18 u
= 38 u
38 u = 266
1 u = 266 ÷ 38 = 7
Number of children
= 5 u
= 5 x 7
= 35
Answer(s): (a)
511; (b) 35