PSLE A caterer prepares samosas for some people attending the wedding party. The ratio of the number of adults to the number of children attending is 4 : 11. Among the children, the ratio of the number of boys to the girls is 9 : 2. A total of 230 samosas are prepared so that each adult gets 3 samosas and each child gets 1.
- 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 |
4
|
11
|
15
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
9
|
2
|
|
Number |
4 u |
9 u |
2 u |
15 u |
Value |
3 |
1 |
1 |
|
Total value |
12 u |
9 u |
2 u |
23 u |
(a)
Fraction of the people that are children =
1115 Fraction of the children that are girls =
211 Fraction of the people that are girls
=
1115 x
211 =
215 (b)
Total number of samosas
= (4 u x 3) + (11 u x 1)
= 12 u + 11 u
= 23 u
23 u = 230
1 u = 230 ÷ 23 = 10
Number of children
= 9 u + 2 u
= 11 u
= 11 x 10
= 110
Answer(s): (a)
215; (b) 110