PSLEA 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 4 : 13. Among the children, the ratio of the number of boys to the girls is 11 : 2. A total of 165 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 adults are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
4
|
13
|
17
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
11
|
2
|
|
Number |
4 u |
11 u |
2 u |
17 u |
Value |
4 |
3 |
3 |
|
Total value |
16 u |
33 u |
6 u |
55 u |
(a)
Fraction of the people that are children =
1317 Fraction of the children that are boys =
1113 Fraction of the people that are girls
=
1317 x
1113 =
1117 (b)
Total number of hot dogs
= (4 u x 4) + (13 u x 3)
= 16 u + 39 u
= 55 u
55 u = 165
1 u = 165 ÷ 55 = 3
Number of adults
= 4 u
= 4 x 3
= 12
Answer(s): (a)
1117; (b) 12