PSLE A caterer prepares nuggets for some people attending the baby shower party. The ratio of the number of adults to the number of children attending is 1 : 4. Among the children, the ratio of the number of boys to the girls is 3 : 1. A total of 112 nuggets are prepared so that each adult gets 4 nuggets and each child gets 3.
- 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 |
1
|
4
|
5
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
3
|
1
|
|
Number |
1 u |
3 u |
1 u |
5 u |
Value |
4 |
3 |
3 |
|
Total value |
4 u |
9 u |
3 u |
16 u |
(a)
Fraction of the people that are children =
45 Fraction of the children that are girls =
14 Fraction of the people that are girls
=
45 x
14 =
15 (b)
Total number of nuggets
= (1 u x 4) + (4 u x 3)
= 4 u + 12 u
= 16 u
16 u = 112
1 u = 112 ÷ 16 = 7
Number of children
= 3 u + 1 u
= 4 u
= 4 x 7
= 28
Answer(s): (a)
15; (b) 28