PSLEA caterer prepares crabsticks for some people attending the wedding party. The ratio of the number of children to the number of adults attending is 2 : 7. Among the adults, the ratio of the number of women to the men is 2 : 5. A total of 26 crabsticks are prepared so that each child gets 3 crabsticks and each adult gets 1.
- 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
|
7
|
9
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
2
|
5
|
|
Number |
2 u |
2 u |
5 u |
9 u |
Value |
3 |
1 |
1 |
|
Total value |
6 u |
2 u |
5 u |
13 u |
(a)
Fraction of the people that are adults =
79 Fraction of the adults that are women =
27 Fraction of the people that are men
=
79 x
27 =
29 (b)
Total number of crabsticks
= (2 u x 3) + (7 u x 1)
= 6 u + 7 u
= 13 u
13 u = 26
1 u = 26 ÷ 13 = 2
Number of children
= 2 u
= 2 x 2
= 4
Answer(s): (a)
29; (b) 4