PSLEA caterer prepares fish cakes for some people attending the anniversary party. The ratio of the number of children to the number of adults attending is 1 : 7. Among the adults, the ratio of the number of women to the men is 3 : 4. A total of 51 fish cakes are prepared so that each child gets 3 fish cakes and each adult gets 2.
- 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 |
1
|
7
|
8
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
3
|
4
|
|
Number |
1 u |
3 u |
4 u |
8 u |
Value |
3 |
2 |
2 |
|
Total value |
3 u |
6 u |
8 u |
17 u |
(a)
Fraction of the people that are adults =
78 Fraction of the adults that are women =
37 Fraction of the people that are men
=
78 x
37 =
38 (b)
Total number of fish cakes
= (1 u x 3) + (7 u x 2)
= 3 u + 14 u
= 17 u
17 u = 51
1 u = 51 ÷ 17 = 3
Number of children
= 1 u
= 1 x 3
= 3
Answer(s): (a)
38; (b) 3