PSLE A caterer prepares dumplings for some people attending the birthday party. The ratio of the number of adults to the number of children attending is 1 : 4. Among the children, the ratio of the number of girls to the boys is 1 : 3. A total of 36 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 |
1
|
4
|
5
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
1
|
3
|
|
Number |
1 u |
1 u |
3 u |
5 u |
Value |
4 |
2 |
2 |
|
Total value |
4 u |
2 u |
6 u |
12 u |
(a)
Fraction of the people that are children =
45 Fraction of the children that are boys =
34 Fraction of the people that are boys
=
45 x
34 =
35 (b)
Total number of dumplings
= (1 u x 4) + (4 u x 2)
= 4 u + 8 u
= 12 u
12 u = 36
1 u = 36 ÷ 12 = 3
Number of children
= 1 u + 3 u
= 4 u
= 4 x 3
= 12
Answer(s): (a)
35; (b) 12