PSLE A caterer prepares hot dogs for some people attending the anniversary party. The ratio of the number of adults to the number of children attending is 3 : 10. Among the children, the ratio of the number of girls to the boys is 9 : 1. A total of 160 hot dogs are prepared so that each adult gets 4 hot dogs and each child gets 2.
- What fraction of the people attending the party are boys?
- How many children are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
3
|
10
|
13
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
9
|
1
|
|
Number |
3 u |
9 u |
1 u |
13 u |
Value |
4 |
2 |
2 |
|
Total value |
12 u |
18 u |
2 u |
32 u |
(a)
Fraction of the people that are children =
1013 Fraction of the children that are boys =
110 Fraction of the people that are boys
=
1013 x
110 =
113 (b)
Total number of hot dogs
= (3 u x 4) + (10 u x 2)
= 12 u + 20 u
= 32 u
32 u = 160
1 u = 160 ÷ 32 = 5
Number of children
= 9 u + 1 u
= 10 u
= 10 x 5
= 50
Answer(s): (a)
113; (b) 50