PSLE A caterer prepares nuggets for some people attending the wedding party. The ratio of the number of adults to the number of children attending is 5 : 12. Among the children, the ratio of the number of boys to the girls is 7 : 5. A total of 528 nuggets are prepared so that each adult gets 4 nuggets 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 |
5
|
12
|
17
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
7
|
5
|
|
Number |
5 u |
7 u |
5 u |
17 u |
Value |
4 |
2 |
2 |
|
Total value |
20 u |
14 u |
10 u |
44 u |
(a)
Fraction of the people that are children =
1217 Fraction of the children that are girls =
512 Fraction of the people that are girls
=
1217 x
512 =
517 (b)
Total number of nuggets
= (5 u x 4) + (12 u x 2)
= 20 u + 24 u
= 44 u
44 u = 528
1 u = 528 ÷ 44 = 12
Number of children
= 7 u + 5 u
= 12 u
= 12 x 12
= 144
Answer(s): (a)
517; (b) 144