PSLEA caterer prepares crabsticks for some people attending the wedding party. The ratio of the number of children to the number of adults attending is 5 : 11. Among the adults, the ratio of the number of men to the women is 9 : 2. A total of 252 crabsticks are prepared so that each child gets 4 crabsticks and each adult gets 2.
- 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 |
5
|
11
|
16
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
9
|
2
|
|
Number |
5 u |
9 u |
2 u |
16 u |
Value |
4 |
2 |
2 |
|
Total value |
20 u |
18 u |
4 u |
42 u |
(a)
Fraction of the people that are adults =
1116 Fraction of the adults that are men =
911 Fraction of the people that are women
=
1116 x
911 =
916 (b)
Total number of crabsticks
= (5 u x 4) + (11 u x 2)
= 20 u + 22 u
= 42 u
42 u = 252
1 u = 252 ÷ 42 = 6
Number of children
= 5 u
= 5 x 6
= 30
Answer(s): (a)
916; (b) 30