PSLEA caterer prepares seaweed chickens for some people attending the anniversary party. The ratio of the number of adults to the number of children attending is 1 : 15. Among the children, the ratio of the number of boys to the girls is 13 : 2. A total of 198 seaweed chickens are prepared so that each adult gets 3 seaweed chickens 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 |
1
|
15
|
16
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
13
|
2
|
|
Number |
1 u |
13 u |
2 u |
16 u |
Value |
3 |
1 |
1 |
|
Total value |
3 u |
13 u |
2 u |
18 u |
(a)
Fraction of the people that are children =
1516 Fraction of the children that are boys =
1315 Fraction of the people that are girls
=
1516 x
1315 =
1316 (b)
Total number of seaweed chickens
= (1 u x 3) + (15 u x 1)
= 3 u + 15 u
= 18 u
18 u = 198
1 u = 198 ÷ 18 = 11
Number of adults
= 1 u
= 1 x 11
= 11
Answer(s): (a)
1316; (b) 11