PSLEA caterer prepares crabsticks for some people attending the anniversary party. The ratio of the number of children to the number of adults attending is 3 : 4. Among the adults, the ratio of the number of men to the women is 3 : 1. A total of 80 crabsticks are prepared so that each child gets 2 crabsticks and each adult gets 1.
- What fraction of the people attending the party are men?
- How many children are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
3
|
4
|
7
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
3
|
1
|
|
Number |
3 u |
3 u |
1 u |
7 u |
Value |
2 |
1 |
1 |
|
Total value |
6 u |
3 u |
1 u |
10 u |
(a)
Fraction of the people that are adults =
47 Fraction of the adults that are men =
34 Fraction of the people that are women
=
47 x
34 =
37 (b)
Total number of crabsticks
= (3 u x 2) + (4 u x 1)
= 6 u + 4 u
= 10 u
10 u = 80
1 u = 80 ÷ 10 = 8
Number of children
= 3 u
= 3 x 8
= 24
Answer(s): (a)
37; (b) 24