PSLEA caterer prepares fishballs for some people attending the anniversary party. The ratio of the number of adults to the number of children attending is 6 : 7. Among the children, the ratio of the number of boys to the girls is 4 : 3. A total of 304 fishballs are prepared so that each adult gets 4 fishballs and each child gets 2.
- 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 |
6
|
7
|
13
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
4
|
3
|
|
Number |
6 u |
4 u |
3 u |
13 u |
Value |
4 |
2 |
2 |
|
Total value |
24 u |
8 u |
6 u |
38 u |
(a)
Fraction of the people that are children =
713 Fraction of the children that are boys =
47 Fraction of the people that are girls
=
713 x
47 =
413 (b)
Total number of fishballs
= (6 u x 4) + (7 u x 2)
= 24 u + 14 u
= 38 u
38 u = 304
1 u = 304 ÷ 38 = 8
Number of adults
= 6 u
= 6 x 8
= 48
Answer(s): (a)
413; (b) 48