PSLE A caterer prepares seaweed chickens for some people attending the baby shower party. The ratio of the number of adults to the number of children attending is 5 : 7. Among the children, the ratio of the number of girls to the boys is 6 : 1. A total of 87 seaweed chickens are prepared so that each adult gets 3 seaweed chickens 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 |
5
|
7
|
12
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
6
|
1
|
|
Number |
5 u |
6 u |
1 u |
12 u |
Value |
3 |
2 |
2 |
|
Total value |
15 u |
12 u |
2 u |
29 u |
(a)
Fraction of the people that are children =
712 Fraction of the children that are boys =
17 Fraction of the people that are boys
=
712 x
17 =
112 (b)
Total number of seaweed chickens
= (5 u x 3) + (7 u x 2)
= 15 u + 14 u
= 29 u
29 u = 87
1 u = 87 ÷ 29 = 3
Number of children
= 6 u + 1 u
= 7 u
= 7 x 3
= 21
Answer(s): (a)
112; (b) 21