PSLEA caterer prepares gyozas for some people attending the baby shower 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 3 : 2. A total of 162 gyozas are prepared so that each adult gets 4 gyozas and each child gets 2.
- 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 |
|
3
|
2
|
|
Number |
2 u |
3 u |
2 u |
7 u |
Value |
4 |
2 |
2 |
|
Total value |
8 u |
6 u |
4 u |
18 u |
(a)
Fraction of the people that are children =
57 Fraction of the children that are girls =
35 Fraction of the people that are boys
=
57 x
35 =
37 (b)
Total number of gyozas
= (2 u x 4) + (5 u x 2)
= 8 u + 10 u
= 18 u
18 u = 162
1 u = 162 ÷ 18 = 9
Number of adults
= 2 u
= 2 x 9
= 18
Answer(s): (a)
37; (b) 18