PSLE A caterer prepares hot dogs for some people attending the baby shower party. The ratio of the number of adults to the number of children attending is 2 : 7. Among the children, the ratio of the number of girls to the boys is 2 : 5. A total of 87 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 |
2
|
7
|
9
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
2
|
5
|
|
Number |
2 u |
2 u |
5 u |
9 u |
Value |
4 |
3 |
3 |
|
Total value |
8 u |
6 u |
15 u |
29 u |
(a)
Fraction of the people that are children =
79 Fraction of the children that are boys =
57 Fraction of the people that are boys
=
79 x
57 =
59 (b)
Total number of hot dogs
= (2 u x 4) + (7 u x 3)
= 8 u + 21 u
= 29 u
29 u = 87
1 u = 87 ÷ 29 = 3
Number of children
= 2 u + 5 u
= 7 u
= 7 x 3
= 21
Answer(s): (a)
59; (b) 21