PSLEA caterer prepares crabsticks for some people attending the baby shower 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 men to the women is 1 : 4. A total of 22 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
|
5
|
8
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
1
|
4
|
|
Number |
3 u |
1 u |
4 u |
8 u |
Value |
2 |
1 |
1 |
|
Total value |
6 u |
1 u |
4 u |
11 u |
(a)
Fraction of the people that are adults =
58 Fraction of the adults that are men =
15 Fraction of the people that are women
=
58 x
15 =
18 (b)
Total number of crabsticks
= (3 u x 2) + (5 u x 1)
= 6 u + 5 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Number of children
= 3 u
= 3 x 2
= 6
Answer(s): (a)
18; (b) 6