PSLEA caterer prepares fishballs for some people attending the anniversary party. The ratio of the number of adults to the number of children attending is 3 : 4. Among the children, the ratio of the number of girls to the boys is 3 : 1. A total of 40 fishballs are prepared so that each adult gets 2 fishballs 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 |
3
|
4
|
7
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
3
|
1
|
|
Number |
3 u |
3 u |
1 u |
7 u |
Value |
2 |
1 |
1 |
|
Total value |
6 u |
3 u |
1 u |
10 u |
(a)
Fraction of the people that are children =
47 Fraction of the children that are girls =
34 Fraction of the people that are boys
=
47 x
34 =
37 (b)
Total number of fishballs
= (3 u x 2) + (4 u x 1)
= 6 u + 4 u
= 10 u
10 u = 40
1 u = 40 ÷ 10 = 4
Number of adults
= 3 u
= 3 x 4
= 12
Answer(s): (a)
37; (b) 12