PSLEA caterer prepares nuggets for some people attending the baby shower 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 boys to the girls is 2 : 5. A total of 128 nuggets are prepared so that each adult gets 3 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 |
6
|
7
|
13
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
2
|
5
|
|
Number |
6 u |
2 u |
5 u |
13 u |
Value |
3 |
2 |
2 |
|
Total value |
18 u |
4 u |
10 u |
32 u |
(a)
Fraction of the people that are children =
713 Fraction of the children that are boys =
27 Fraction of the people that are girls
=
713 x
27 =
213 (b)
Total number of nuggets
= (6 u x 3) + (7 u x 2)
= 18 u + 14 u
= 32 u
32 u = 128
1 u = 128 ÷ 32 = 4
Number of adults
= 6 u
= 6 x 4
= 24
Answer(s): (a)
213; (b) 24