PSLEA caterer prepares gyozas for some people attending the wedding 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 77 gyozas are prepared so that each adult gets 3 gyozas 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 |
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 |
3 |
1 |
1 |
|
Total value |
6 u |
2 u |
3 u |
11 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 gyozas
= (2 u x 3) + (5 u x 1)
= 6 u + 5 u
= 11 u
11 u = 77
1 u = 77 ÷ 11 = 7
Number of adults
= 2 u
= 2 x 7
= 14
Answer(s): (a)
27; (b) 14