PSLEA caterer prepares samosas for some people attending the wedding party. The ratio of the number of adults to the number of children attending is 1 : 13. Among the children, the ratio of the number of girls to the boys is 9 : 4. A total of 290 samosas are prepared so that each adult gets 3 samosas and each child gets 2.
- 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 |
1
|
13
|
14
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
9
|
4
|
|
Number |
1 u |
9 u |
4 u |
14 u |
Value |
3 |
2 |
2 |
|
Total value |
3 u |
18 u |
8 u |
29 u |
(a)
Fraction of the people that are children =
1314 Fraction of the children that are girls =
913 Fraction of the people that are boys
=
1314 x
913 =
914 (b)
Total number of samosas
= (1 u x 3) + (13 u x 2)
= 3 u + 26 u
= 29 u
29 u = 290
1 u = 290 ÷ 29 = 10
Number of adults
= 1 u
= 1 x 10
= 10
Answer(s): (a)
914; (b) 10