PSLEA caterer prepares gyozas for some people attending the birthday party. The ratio of the number of children to the number of adults attending is 3 : 4. Among the adults, the ratio of the number of women to the men is 1 : 3. A total of 48 gyozas are prepared so that each child gets 4 gyozas and each adult gets 3.
- 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 |
3
|
4
|
7
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
1
|
3
|
|
Number |
3 u |
1 u |
3 u |
7 u |
Value |
4 |
3 |
3 |
|
Total value |
12 u |
3 u |
9 u |
24 u |
(a)
Fraction of the people that are adults =
47 Fraction of the adults that are women =
14 Fraction of the people that are men
=
47 x
14 =
17 (b)
Total number of gyozas
= (3 u x 4) + (4 u x 3)
= 12 u + 12 u
= 24 u
24 u = 48
1 u = 48 ÷ 24 = 2
Number of children
= 3 u
= 3 x 2
= 6
Answer(s): (a)
17; (b) 6