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 4 : 9. Among the children, the ratio of the number of boys to the girls is 5 : 4. A total of 63 dumplings are prepared so that each adult gets 3 dumplings and each child gets 1.
- What fraction of the people attending the party are girls?
- How many children are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
4
|
9
|
13
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
5
|
4
|
|
Number |
4 u |
5 u |
4 u |
13 u |
Value |
3 |
1 |
1 |
|
Total value |
12 u |
5 u |
4 u |
21 u |
(a)
Fraction of the people that are children =
913 Fraction of the children that are girls =
49 Fraction of the people that are girls
=
913 x
49 =
413 (b)
Total number of dumplings
= (4 u x 3) + (9 u x 1)
= 12 u + 9 u
= 21 u
21 u = 63
1 u = 63 ÷ 21 = 3
Number of children
= 5 u + 4 u
= 9 u
= 9 x 3
= 27
Answer(s): (a)
413; (b) 27