PSLE A caterer prepares gyozas for some people attending the birthday party. The ratio of the number of children to the number of adults attending is 4 : 13. Among the adults, the ratio of the number of men to the women is 9 : 4. A total of 177 gyozas are prepared so that each child gets 5 gyozas and each adult gets 3.
- What fraction of the people attending the party are women?
- How many adults are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
4
|
13
|
17
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
9
|
4
|
|
Number |
4 u |
9 u |
4 u |
17 u |
Value |
5 |
3 |
3 |
|
Total value |
20 u |
27 u |
12 u |
59 u |
(a)
Fraction of the people that are adults =
1317 Fraction of the adults that are women =
413 Fraction of the people that are women
=
1317 x
413 =
417 (b)
Total number of gyozas
= (4 u x 5) + (13 u x 3)
= 20 u + 39 u
= 59 u
59 u = 177
1 u = 177 ÷ 59 = 3
Number of adults
= 9 u + 4 u
= 13 u
= 13 x 3
= 39
Answer(s): (a)
417; (b) 39