PSLE A caterer prepares gyozas 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 girls to the boys is 6 : 1. A total of 220 gyozas are prepared so that each adult gets 3 gyozas 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 |
2
|
7
|
9
|
|
|
Girls |
Boys |
|
Comparison between the number of adults and children |
|
6
|
1
|
|
Number |
2 u |
6 u |
1 u |
9 u |
Value |
3 |
2 |
2 |
|
Total value |
6 u |
12 u |
2 u |
20 u |
(a)
Fraction of the people that are children =
79 Fraction of the children that are boys =
17 Fraction of the people that are boys
=
79 x
17 =
19 (b)
Total number of gyozas
= (2 u x 3) + (7 u x 2)
= 6 u + 14 u
= 20 u
20 u = 220
1 u = 220 ÷ 20 = 11
Number of children
= 6 u + 1 u
= 7 u
= 7 x 11
= 77
Answer(s): (a)
19; (b) 77