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 4 : 5. Among the adults, the ratio of the number of men to the women is 4 : 1. A total of 156 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 adults 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 |
|
4
|
1
|
|
Number |
4 u |
4 u |
1 u |
9 u |
Value |
4 |
2 |
2 |
|
Total value |
16 u |
8 u |
2 u |
26 u |
(a)
Fraction of the people that are adults =
59 Fraction of the adults that are women =
15 Fraction of the people that are women
=
59 x
15 =
19 (b)
Total number of samosas
= (4 u x 4) + (5 u x 2)
= 16 u + 10 u
= 26 u
26 u = 156
1 u = 156 ÷ 26 = 6
Number of adults
= 4 u + 1 u
= 5 u
= 5 x 6
= 30
Answer(s): (a)
19; (b) 30