PSLEA caterer prepares fish cakes for some people attending the baby shower party. The ratio of the number of adults to the number of children attending is 1 : 4. Among the children, the ratio of the number of boys to the girls is 1 : 3. A total of 77 fish cakes are prepared so that each adult gets 3 fish cakes and each child gets 1.
- What fraction of the people attending the party are boys?
- How many adults are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
1
|
4
|
5
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
1
|
3
|
|
Number |
1 u |
1 u |
3 u |
5 u |
Value |
3 |
1 |
1 |
|
Total value |
3 u |
1 u |
3 u |
7 u |
(a)
Fraction of the people that are children =
45 Fraction of the children that are boys =
14 Fraction of the people that are girls
=
45 x
14 =
15 (b)
Total number of fish cakes
= (1 u x 3) + (4 u x 1)
= 3 u + 4 u
= 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
Number of adults
= 1 u
= 1 x 11
= 11
Answer(s): (a)
15; (b) 11