PSLEA caterer prepares fish cakes for some people attending the birthday party. The ratio of the number of children to the number of adults attending is 4 : 13. Among the adults, the ratio of the number of women to the men is 8 : 5. A total of 225 fish cakes are prepared so that each child gets 3 fish cakes 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 |
4
|
13
|
17
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
8
|
5
|
|
Number |
4 u |
8 u |
5 u |
17 u |
Value |
3 |
1 |
1 |
|
Total value |
12 u |
8 u |
5 u |
25 u |
(a)
Fraction of the people that are adults =
1317 Fraction of the adults that are women =
813 Fraction of the people that are men
=
1317 x
813 =
817 (b)
Total number of fish cakes
= (4 u x 3) + (13 u x 1)
= 12 u + 13 u
= 25 u
25 u = 225
1 u = 225 ÷ 25 = 9
Number of children
= 4 u
= 4 x 9
= 36
Answer(s): (a)
817; (b) 36