PSLE A caterer prepares hashbrowns for some people attending the anniversary party. The ratio of the number of children to the number of adults attending is 3 : 5. Among the adults, the ratio of the number of women to the men is 2 : 3. A total of 240 hashbrowns are prepared so that each child gets 5 hashbrowns and each adult gets 3.
- 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 |
3
|
5
|
8
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
2
|
3
|
|
Number |
3 u |
2 u |
3 u |
8 u |
Value |
5 |
3 |
3 |
|
Total value |
15 u |
6 u |
9 u |
30 u |
(a)
Fraction of the people that are adults =
58 Fraction of the adults that are men =
35 Fraction of the people that are men
=
58 x
35 =
38 (b)
Total number of hashbrowns
= (3 u x 5) + (5 u x 3)
= 15 u + 15 u
= 30 u
30 u = 240
1 u = 240 ÷ 30 = 8
Number of adults
= 2 u + 3 u
= 5 u
= 5 x 8
= 40
Answer(s): (a)
38; (b) 40