PSLEA caterer prepares crabsticks for some people attending the anniversary party. The ratio of the number of children to the number of adults attending is 2 : 5. Among the adults, the ratio of the number of women to the men is 4 : 1. A total of 115 crabsticks are prepared so that each child gets 4 crabsticks and each adult gets 3.
- What fraction of the people attending the party are women?
- How many children are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
2
|
5
|
7
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
4
|
1
|
|
Number |
2 u |
4 u |
1 u |
7 u |
Value |
4 |
3 |
3 |
|
Total value |
8 u |
12 u |
3 u |
23 u |
(a)
Fraction of the people that are adults =
57 Fraction of the adults that are women =
45 Fraction of the people that are men
=
57 x
45 =
47 (b)
Total number of crabsticks
= (2 u x 4) + (5 u x 3)
= 8 u + 15 u
= 23 u
23 u = 115
1 u = 115 ÷ 23 = 5
Number of children
= 2 u
= 2 x 5
= 10
Answer(s): (a)
47; (b) 10