PSLEA caterer prepares samosas for some people attending the birthday party. The ratio of the number of children to the number of adults attending is 5 : 13. Among the adults, the ratio of the number of men to the women is 11 : 2. A total of 256 samosas are prepared so that each child gets 5 samosas 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
|
13
|
18
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
11
|
2
|
|
Number |
5 u |
11 u |
2 u |
18 u |
Value |
5 |
3 |
3 |
|
Total value |
25 u |
33 u |
6 u |
64 u |
(a)
Fraction of the people that are adults =
1318 Fraction of the adults that are men =
1113 Fraction of the people that are women
=
1318 x
1113 =
1118 (b)
Total number of samosas
= (5 u x 5) + (13 u x 3)
= 25 u + 39 u
= 64 u
64 u = 256
1 u = 256 ÷ 64 = 4
Number of children
= 5 u
= 5 x 4
= 20
Answer(s): (a)
1118; (b) 20