PSLEA caterer prepares samosas for some people attending the birthday party. The ratio of the number of adults to the number of children attending is 1 : 10. Among the children, the ratio of the number of boys to the girls is 9 : 1. A total of 140 samosas are prepared so that each adult gets 5 samosas and each child gets 3.
- What fraction of the people attending the party are boys?
- How many adults are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
1
|
10
|
11
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
9
|
1
|
|
Number |
1 u |
9 u |
1 u |
11 u |
Value |
5 |
3 |
3 |
|
Total value |
5 u |
27 u |
3 u |
35 u |
(a)
Fraction of the people that are children =
1011 Fraction of the children that are boys =
910 Fraction of the people that are girls
=
1011 x
910 =
911 (b)
Total number of samosas
= (1 u x 5) + (10 u x 3)
= 5 u + 30 u
= 35 u
35 u = 140
1 u = 140 ÷ 35 = 4
Number of adults
= 1 u
= 1 x 4
= 4
Answer(s): (a)
911; (b) 4