PSLE A caterer prepares samosas for some people attending the anniversary party. The ratio of the number of children to the number of adults attending is 5 : 12. Among the adults, the ratio of the number of men to the women is 11 : 1. A total of 396 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 |
5
|
12
|
17
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
11
|
1
|
|
Number |
5 u |
11 u |
1 u |
17 u |
Value |
4 |
2 |
2 |
|
Total value |
20 u |
22 u |
2 u |
44 u |
(a)
Fraction of the people that are adults =
1217 Fraction of the adults that are women =
112 Fraction of the people that are women
=
1217 x
112 =
117 (b)
Total number of samosas
= (5 u x 4) + (12 u x 2)
= 20 u + 24 u
= 44 u
44 u = 396
1 u = 396 ÷ 44 = 9
Number of adults
= 11 u + 1 u
= 12 u
= 12 x 9
= 108
Answer(s): (a)
117; (b) 108