PSLEA caterer prepares crabsticks for some people attending the birthday party. The ratio of the number of adults to the number of children attending is 1 : 2. Among the children, the ratio of the number of boys to the girls is 1 : 1. A total of 88 crabsticks are prepared so that each adult gets 4 crabsticks and each child gets 2.
- What fraction of the people attending the party are boys?
- How many adults are attending the party?
|
Adults |
Children |
Total |
Comparison between the number of adults and children |
1
|
2
|
3
|
|
|
Boys |
Girls |
|
Comparison between the number of adults and children |
|
1
|
1
|
|
Number |
1 u |
1 u |
1 u |
3 u |
Value |
4 |
2 |
2 |
|
Total value |
4 u |
2 u |
2 u |
8 u |
(a)
Fraction of the people that are children =
23 Fraction of the children that are boys =
12 Fraction of the people that are girls
=
23 x
12 =
13 (b)
Total number of crabsticks
= (1 u x 4) + (2 u x 2)
= 4 u + 4 u
= 8 u
8 u = 88
1 u = 88 ÷ 8 = 11
Number of adults
= 1 u
= 1 x 11
= 11
Answer(s): (a)
13; (b) 11