PSLEA caterer prepares nuggets for some people attending the anniversary party. The ratio of the number of adults to the number of children attending is 2 : 11. Among the children, the ratio of the number of boys to the girls is 8 : 3. A total of 60 nuggets are prepared so that each adult gets 4 nuggets and each child gets 2.
- 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 |
2
|
11
|
13
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
8
|
3
|
|
Number |
2 u |
8 u |
3 u |
13 u |
Value |
4 |
2 |
2 |
|
Total value |
8 u |
16 u |
6 u |
30 u |
(a)
Fraction of the people that are children =
1113 Fraction of the children that are boys =
811 Fraction of the people that are girls
=
1113 x
811 =
813 (b)
Total number of nuggets
= (2 u x 4) + (11 u x 2)
= 8 u + 22 u
= 30 u
30 u = 60
1 u = 60 ÷ 30 = 2
Number of adults
= 2 u
= 2 x 2
= 4
Answer(s): (a)
813; (b) 4