PSLE A caterer prepares fishballs for some people attending the birthday party. The ratio of the number of children to the number of adults attending is 4 : 9. Among the adults, the ratio of the number of women to the men is 8 : 1. A total of 102 fishballs are prepared so that each child gets 2 fishballs and each adult gets 1.
- What fraction of the people attending the party are men?
- How many adults are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
4
|
9
|
13
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
8
|
1
|
|
Number |
4 u |
8 u |
1 u |
13 u |
Value |
2 |
1 |
1 |
|
Total value |
8 u |
8 u |
1 u |
17 u |
(a)
Fraction of the people that are adults =
913 Fraction of the adults that are men =
19 Fraction of the people that are men
=
913 x
19 =
113 (b)
Total number of fishballs
= (4 u x 2) + (9 u x 1)
= 8 u + 9 u
= 17 u
17 u = 102
1 u = 102 ÷ 17 = 6
Number of adults
= 8 u + 1 u
= 9 u
= 9 x 6
= 54
Answer(s): (a)
113; (b) 54