PSLEA caterer prepares fish fingers for some people attending the wedding party. The ratio of the number of adults to the number of children attending is 4 : 5. Among the children, the ratio of the number of girls to the boys is 2 : 3. A total of 210 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 |
4
|
5
|
9
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
2
|
3
|
|
Number |
4 u |
2 u |
3 u |
9 u |
Value |
5 |
3 |
3 |
|
Total value |
20 u |
6 u |
9 u |
35 u |
(a)
Fraction of the people that are children =
59 Fraction of the children that are girls =
25 Fraction of the people that are boys
=
59 x
25 =
29 (b)
Total number of fish fingers
= (4 u x 5) + (5 u x 3)
= 20 u + 15 u
= 35 u
35 u = 210
1 u = 210 ÷ 35 = 6
Number of adults
= 4 u
= 4 x 6
= 24
Answer(s): (a)
29; (b) 24