PSLEA caterer prepares seaweed chickens for some people attending the anniversary party. The ratio of the number of children to the number of adults attending is 2 : 3. Among the adults, the ratio of the number of women to the men is 1 : 2. A total of 108 seaweed chickens are prepared so that each child gets 3 seaweed chickens and each adult gets 1.
- What fraction of the people attending the party are women?
- How many children are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
2
|
3
|
5
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
1
|
2
|
|
Number |
2 u |
1 u |
2 u |
5 u |
Value |
3 |
1 |
1 |
|
Total value |
6 u |
1 u |
2 u |
9 u |
(a)
Fraction of the people that are adults =
35 Fraction of the adults that are women =
13 Fraction of the people that are men
=
35 x
13 =
15 (b)
Total number of seaweed chickens
= (2 u x 3) + (3 u x 1)
= 6 u + 3 u
= 9 u
9 u = 108
1 u = 108 ÷ 9 = 12
Number of children
= 2 u
= 2 x 12
= 24
Answer(s): (a)
15; (b) 24