PSLE A caterer prepares dumplings for some people attending the birthday party. The ratio of the number of children to the number of adults attending is 6 : 7. Among the adults, the ratio of the number of men to the women is 5 : 2. A total of 288 dumplings are prepared so that each child gets 3 dumplings and each adult gets 2.
- 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 |
6
|
7
|
13
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
5
|
2
|
|
Number |
6 u |
5 u |
2 u |
13 u |
Value |
3 |
2 |
2 |
|
Total value |
18 u |
10 u |
4 u |
32 u |
(a)
Fraction of the people that are adults =
713 Fraction of the adults that are women =
27 Fraction of the people that are women
=
713 x
27 =
213 (b)
Total number of dumplings
= (6 u x 3) + (7 u x 2)
= 18 u + 14 u
= 32 u
32 u = 288
1 u = 288 ÷ 32 = 9
Number of adults
= 5 u + 2 u
= 7 u
= 7 x 9
= 63
Answer(s): (a)
213; (b) 63