PSLE A caterer prepares nuggets for some people attending the wedding party. The ratio of the number of adults to the number of children attending is 5 : 12. Among the children, the ratio of the number of girls to the boys is 7 : 5. A total of 66 nuggets are prepared so that each adult gets 2 nuggets and each child gets 1.
- 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 |
5
|
12
|
17
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
7
|
5
|
|
Number |
5 u |
7 u |
5 u |
17 u |
Value |
2 |
1 |
1 |
|
Total value |
10 u |
7 u |
5 u |
22 u |
(a)
Fraction of the people that are children =
1217 Fraction of the children that are boys =
512 Fraction of the people that are boys
=
1217 x
512 =
517 (b)
Total number of nuggets
= (5 u x 2) + (12 u x 1)
= 10 u + 12 u
= 22 u
22 u = 66
1 u = 66 ÷ 22 = 3
Number of children
= 7 u + 5 u
= 12 u
= 12 x 3
= 36
Answer(s): (a)
517; (b) 36