PSLE A caterer prepares samosas for some people attending the birthday party. The ratio of the number of children to the number of adults attending is 1 : 9. Among the adults, the ratio of the number of men to the women is 8 : 1. A total of 24 samosas are prepared so that each child gets 3 samosas and each adult gets 1.
- What fraction of the people attending the party are women?
- How many adults are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
1
|
9
|
10
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
8
|
1
|
|
Number |
1 u |
8 u |
1 u |
10 u |
Value |
3 |
1 |
1 |
|
Total value |
3 u |
8 u |
1 u |
12 u |
(a)
Fraction of the people that are adults =
910 Fraction of the adults that are women =
19 Fraction of the people that are women
=
910 x
19 =
110 (b)
Total number of samosas
= (1 u x 3) + (9 u x 1)
= 3 u + 9 u
= 12 u
12 u = 24
1 u = 24 ÷ 12 = 2
Number of adults
= 8 u + 1 u
= 9 u
= 9 x 2
= 18
Answer(s): (a)
110; (b) 18