PSLEA caterer prepares samosas for some people attending the wedding party. The ratio of the number of children to the number of adults attending is 1 : 5. Among the adults, the ratio of the number of men to the women is 1 : 4. A total of 133 samosas are prepared so that each child gets 4 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 |
1
|
5
|
6
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
1
|
4
|
|
Number |
1 u |
1 u |
4 u |
6 u |
Value |
4 |
3 |
3 |
|
Total value |
4 u |
3 u |
12 u |
19 u |
(a)
Fraction of the people that are adults =
56 Fraction of the adults that are men =
15 Fraction of the people that are women
=
56 x
15 =
16 (b)
Total number of samosas
= (1 u x 4) + (5 u x 3)
= 4 u + 15 u
= 19 u
19 u = 133
1 u = 133 ÷ 19 = 7
Number of children
= 1 u
= 1 x 7
= 7
Answer(s): (a)
16; (b) 7