PSLE A caterer prepares hot dogs for some people attending the birthday party. The ratio of the number of adults to the number of children attending is 3 : 4. Among the children, the ratio of the number of girls to the boys is 3 : 1. A total of 168 hot dogs are prepared so that each adult gets 4 hot dogs and each child gets 3.
- 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
|
4
|
7
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
3
|
1
|
|
Number |
3 u |
3 u |
1 u |
7 u |
Value |
4 |
3 |
3 |
|
Total value |
12 u |
9 u |
3 u |
24 u |
(a)
Fraction of the people that are children =
47 Fraction of the children that are boys =
14 Fraction of the people that are boys
=
47 x
14 =
17 (b)
Total number of hot dogs
= (3 u x 4) + (4 u x 3)
= 12 u + 12 u
= 24 u
24 u = 168
1 u = 168 ÷ 24 = 7
Number of children
= 3 u + 1 u
= 4 u
= 4 x 7
= 28
Answer(s): (a)
17; (b) 28