PSLE A caterer prepares dumplings for some people attending the wedding party. The ratio of the number of adults to the number of children attending is 5 : 6. Among the children, the ratio of the number of girls to the boys is 1 : 5. A total of 384 dumplings are prepared so that each adult gets 4 dumplings and each child gets 2.
- What fraction of the people attending the party are boys?
- How many children are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
5
|
6
|
11
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
1
|
5
|
|
Number |
5 u |
1 u |
5 u |
11 u |
Value |
4 |
2 |
2 |
|
Total value |
20 u |
2 u |
10 u |
32 u |
(a)
Fraction of the people that are children =
611 Fraction of the children that are boys =
56 Fraction of the people that are boys
=
611 x
56 =
511 (b)
Total number of dumplings
= (5 u x 4) + (6 u x 2)
= 20 u + 12 u
= 32 u
32 u = 384
1 u = 384 ÷ 32 = 12
Number of children
= 1 u + 5 u
= 6 u
= 6 x 12
= 72
Answer(s): (a)
511; (b) 72