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 : 8. Among the adults, the ratio of the number of men to the women is 5 : 3. A total of 98 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
|
8
|
13
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
5
|
3
|
|
Number |
5 u |
5 u |
3 u |
13 u |
Value |
5 |
3 |
3 |
|
Total value |
25 u |
15 u |
9 u |
49 u |
(a)
Fraction of the people that are adults =
813 Fraction of the adults that are men =
58 Fraction of the people that are women
=
813 x
58 =
513 (b)
Total number of samosas
= (5 u x 5) + (8 u x 3)
= 25 u + 24 u
= 49 u
49 u = 98
1 u = 98 ÷ 49 = 2
Number of children
= 5 u
= 5 x 2
= 10
Answer(s): (a)
513; (b) 10