PSLEA caterer prepares dumplings for some people attending the birthday party. The ratio of the number of adults to the number of children attending is 6 : 7. Among the children, the ratio of the number of girls to the boys is 5 : 2. A total of 495 dumplings are prepared so that each adult gets 4 dumplings and each child gets 3.
- What fraction of the people attending the party are girls?
- How many adults are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
6
|
7
|
13
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
5
|
2
|
|
Number |
6 u |
5 u |
2 u |
13 u |
Value |
4 |
3 |
3 |
|
Total value |
24 u |
15 u |
6 u |
45 u |
(a)
Fraction of the people that are children =
713 Fraction of the children that are girls =
57 Fraction of the people that are boys
=
713 x
57 =
513 (b)
Total number of dumplings
= (6 u x 4) + (7 u x 3)
= 24 u + 21 u
= 45 u
45 u = 495
1 u = 495 ÷ 45 = 11
Number of adults
= 6 u
= 6 x 11
= 66
Answer(s): (a)
513; (b) 66