PSLE A caterer prepares chicken wings 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 4 : 1. A total of 360 chicken wings are prepared so that each child gets 5 chicken wings 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 |
|
4
|
1
|
|
Number |
3 u |
4 u |
1 u |
8 u |
Value |
5 |
3 |
3 |
|
Total value |
15 u |
12 u |
3 u |
30 u |
(a)
Fraction of the people that are adults =
58 Fraction of the adults that are men =
15 Fraction of the people that are men
=
58 x
15 =
18 (b)
Total number of chicken wings
= (3 u x 5) + (5 u x 3)
= 15 u + 15 u
= 30 u
30 u = 360
1 u = 360 ÷ 30 = 12
Number of adults
= 4 u + 1 u
= 5 u
= 5 x 12
= 60
Answer(s): (a)
18; (b) 60