PSLEA caterer prepares fish cakes for some people attending the baby shower party. The ratio of the number of children to the number of adults attending is 2 : 11. Among the adults, the ratio of the number of women to the men is 7 : 4. A total of 140 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 |
2
|
11
|
13
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
7
|
4
|
|
Number |
2 u |
7 u |
4 u |
13 u |
Value |
3 |
2 |
2 |
|
Total value |
6 u |
14 u |
8 u |
28 u |
(a)
Fraction of the people that are adults =
1113 Fraction of the adults that are women =
711 Fraction of the people that are men
=
1113 x
711 =
713 (b)
Total number of fish cakes
= (2 u x 3) + (11 u x 2)
= 6 u + 22 u
= 28 u
28 u = 140
1 u = 140 ÷ 28 = 5
Number of children
= 2 u
= 2 x 5
= 10
Answer(s): (a)
713; (b) 10