PSLEA caterer prepares fish fingers for some people attending the birthday party. The ratio of the number of adults to the number of children attending is 2 : 5. Among the children, the ratio of the number of girls to the boys is 2 : 3. A total of 50 fish fingers are prepared so that each adult gets 5 fish fingers and each child gets 3.
- What fraction of the people attending the party are girls?
- How many adults are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
2
|
5
|
7
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
2
|
3
|
|
Number |
2 u |
2 u |
3 u |
7 u |
Value |
5 |
3 |
3 |
|
Total value |
10 u |
6 u |
9 u |
25 u |
(a)
Fraction of the people that are children =
57 Fraction of the children that are girls =
25 Fraction of the people that are boys
=
57 x
25 =
27 (b)
Total number of fish fingers
= (2 u x 5) + (5 u x 3)
= 10 u + 15 u
= 25 u
25 u = 50
1 u = 50 ÷ 25 = 2
Number of adults
= 2 u
= 2 x 2
= 4
Answer(s): (a)
27; (b) 4