PSLE A caterer prepares crabsticks for some people attending the wedding party. The ratio of the number of adults to the number of children attending is 4 : 5. Among the children, the ratio of the number of boys to the girls is 1 : 4. A total of 51 crabsticks are prepared so that each adult gets 3 crabsticks 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
|
5
|
9
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
1
|
4
|
|
Number |
4 u |
1 u |
4 u |
9 u |
Value |
3 |
1 |
1 |
|
Total value |
12 u |
1 u |
4 u |
17 u |
(a)
Fraction of the people that are children =
59 Fraction of the children that are girls =
45 Fraction of the people that are girls
=
59 x
45 =
49 (b)
Total number of crabsticks
= (4 u x 3) + (5 u x 1)
= 12 u + 5 u
= 17 u
17 u = 51
1 u = 51 ÷ 17 = 3
Number of children
= 1 u + 4 u
= 5 u
= 5 x 3
= 15
Answer(s): (a)
49; (b) 15