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 6 : 11. Among the children, the ratio of the number of girls to the boys is 9 : 2. A total of 69 fish fingers are prepared so that each adult gets 2 fish fingers and each child gets 1.
- 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 |
6
|
11
|
17
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
9
|
2
|
|
Number |
6 u |
9 u |
2 u |
17 u |
Value |
2 |
1 |
1 |
|
Total value |
12 u |
9 u |
2 u |
23 u |
(a)
Fraction of the people that are children =
1117 Fraction of the children that are girls =
911 Fraction of the people that are boys
=
1117 x
911 =
917 (b)
Total number of fish fingers
= (6 u x 2) + (11 u x 1)
= 12 u + 11 u
= 23 u
23 u = 69
1 u = 69 ÷ 23 = 3
Number of adults
= 6 u
= 6 x 3
= 18
Answer(s): (a)
917; (b) 18