PSLEA caterer prepares samosas for some people attending the baby shower party. The ratio of the number of children to the number of adults attending is 2 : 9. Among the adults, the ratio of the number of women to the men is 8 : 1. A total of 208 samosas are prepared so that each child gets 4 samosas and each adult gets 2.
- What fraction of the people attending the party are women?
- How many children are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
2
|
9
|
11
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
8
|
1
|
|
Number |
2 u |
8 u |
1 u |
11 u |
Value |
4 |
2 |
2 |
|
Total value |
8 u |
16 u |
2 u |
26 u |
(a)
Fraction of the people that are adults =
911 Fraction of the adults that are women =
89 Fraction of the people that are men
=
911 x
89 =
811 (b)
Total number of samosas
= (2 u x 4) + (9 u x 2)
= 8 u + 18 u
= 26 u
26 u = 208
1 u = 208 ÷ 26 = 8
Number of children
= 2 u
= 2 x 8
= 16
Answer(s): (a)
811; (b) 16