PSLEA caterer prepares gyozas for some people attending the baby shower party. The ratio of the number of children to the number of adults attending is 2 : 5. Among the adults, the ratio of the number of women to the men is 2 : 3. A total of 180 gyozas are prepared so that each child gets 4 gyozas and each adult gets 2.
- What fraction of the people attending the party are women?
- How many children are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
2
|
5
|
7
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
2
|
3
|
|
Number |
2 u |
2 u |
3 u |
7 u |
Value |
4 |
2 |
2 |
|
Total value |
8 u |
4 u |
6 u |
18 u |
(a)
Fraction of the people that are adults =
57 Fraction of the adults that are women =
25 Fraction of the people that are men
=
57 x
25 =
27 (b)
Total number of gyozas
= (2 u x 4) + (5 u x 2)
= 8 u + 10 u
= 18 u
18 u = 180
1 u = 180 ÷ 18 = 10
Number of children
= 2 u
= 2 x 10
= 20
Answer(s): (a)
27; (b) 20