PSLEA caterer prepares fish fingers for some people attending the anniversary party. The ratio of the number of adults to the number of children attending is 1 : 7. Among the children, the ratio of the number of girls to the boys is 5 : 2. A total of 75 fish fingers are prepared so that each adult gets 4 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 |
1
|
7
|
8
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
5
|
2
|
|
Number |
1 u |
5 u |
2 u |
8 u |
Value |
4 |
3 |
3 |
|
Total value |
4 u |
15 u |
6 u |
25 u |
(a)
Fraction of the people that are children =
78 Fraction of the children that are girls =
57 Fraction of the people that are boys
=
78 x
57 =
58 (b)
Total number of fish fingers
= (1 u x 4) + (7 u x 3)
= 4 u + 21 u
= 25 u
25 u = 75
1 u = 75 ÷ 25 = 3
Number of adults
= 1 u
= 1 x 3
= 3
Answer(s): (a)
58; (b) 3