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 2 : 5. Among the children, the ratio of the number of girls to the boys is 2 : 3. A total of 161 nuggets are prepared so that each adult gets 4 nuggets 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
|
5
|
7
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
2
|
3
|
|
Number |
2 u |
2 u |
3 u |
7 u |
Value |
4 |
3 |
3 |
|
Total value |
8 u |
6 u |
9 u |
23 u |
(a)
Fraction of the people that are children =
57 Fraction of the children that are boys =
35 Fraction of the people that are boys
=
57 x
35 =
37 (b)
Total number of nuggets
= (2 u x 4) + (5 u x 3)
= 8 u + 15 u
= 23 u
23 u = 161
1 u = 161 ÷ 23 = 7
Number of children
= 2 u + 3 u
= 5 u
= 5 x 7
= 35
Answer(s): (a)
37; (b) 35