PSLE A caterer prepares hashbrowns for some people attending the birthday 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 5 : 2. A total of 80 hashbrowns are prepared so that each adult gets 3 hashbrowns and each child gets 2.
- What fraction of the people attending the party are girls?
- How many children 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 |
|
5
|
2
|
|
Number |
2 u |
5 u |
2 u |
9 u |
Value |
3 |
2 |
2 |
|
Total value |
6 u |
10 u |
4 u |
20 u |
(a)
Fraction of the people that are children =
79 Fraction of the children that are girls =
27 Fraction of the people that are girls
=
79 x
27 =
29 (b)
Total number of hashbrowns
= (2 u x 3) + (7 u x 2)
= 6 u + 14 u
= 20 u
20 u = 80
1 u = 80 ÷ 20 = 4
Number of children
= 5 u + 2 u
= 7 u
= 7 x 4
= 28
Answer(s): (a)
29; (b) 28