PSLEA caterer prepares fishballs for some people attending the wedding party. The ratio of the number of adults to the number of children attending is 2 : 7. Among the children, the ratio of the number of boys to the girls is 4 : 3. A total of 117 fishballs are prepared so that each adult gets 3 fishballs and each child gets 1.
- 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 |
2
|
7
|
9
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
4
|
3
|
|
Number |
2 u |
4 u |
3 u |
9 u |
Value |
3 |
1 |
1 |
|
Total value |
6 u |
4 u |
3 u |
13 u |
(a)
Fraction of the people that are children =
79 Fraction of the children that are boys =
47 Fraction of the people that are girls
=
79 x
47 =
49 (b)
Total number of fishballs
= (2 u x 3) + (7 u x 1)
= 6 u + 7 u
= 13 u
13 u = 117
1 u = 117 ÷ 13 = 9
Number of adults
= 2 u
= 2 x 9
= 18
Answer(s): (a)
49; (b) 18