PSLE A caterer prepares fishballs for some people attending the anniversary party. The ratio of the number of adults to the number of children attending is 3 : 5. Among the children, the ratio of the number of girls to the boys is 2 : 3. A total of 190 fishballs are prepared so that each adult gets 3 fishballs and each child gets 2.
- 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
|
5
|
8
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
2
|
3
|
|
Number |
3 u |
2 u |
3 u |
8 u |
Value |
3 |
2 |
2 |
|
Total value |
9 u |
4 u |
6 u |
19 u |
(a)
Fraction of the people that are children =
58 Fraction of the children that are boys =
35 Fraction of the people that are boys
=
58 x
35 =
38 (b)
Total number of fishballs
= (3 u x 3) + (5 u x 2)
= 9 u + 10 u
= 19 u
19 u = 190
1 u = 190 ÷ 19 = 10
Number of children
= 2 u + 3 u
= 5 u
= 5 x 10
= 50
Answer(s): (a)
38; (b) 50