PSLEA caterer prepares samosas for some people attending the anniversary party. The ratio of the number of children to the number of adults attending is 4 : 5. Among the adults, the ratio of the number of men to the women is 1 : 4. A total of 153 samosas are prepared so that each child gets 3 samosas and each adult gets 1.
- 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 |
4
|
5
|
9
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
1
|
4
|
|
Number |
4 u |
1 u |
4 u |
9 u |
Value |
3 |
1 |
1 |
|
Total value |
12 u |
1 u |
4 u |
17 u |
(a)
Fraction of the people that are adults =
59 Fraction of the adults that are men =
15 Fraction of the people that are women
=
59 x
15 =
19 (b)
Total number of samosas
= (4 u x 3) + (5 u x 1)
= 12 u + 5 u
= 17 u
17 u = 153
1 u = 153 ÷ 17 = 9
Number of children
= 4 u
= 4 x 9
= 36
Answer(s): (a)
19; (b) 36