PSLEA caterer prepares dumplings for some people attending the baby shower 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 90 dumplings are prepared so that each child gets 2 dumplings 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
|
5
|
7
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
4
|
1
|
|
Number |
2 u |
4 u |
1 u |
7 u |
Value |
2 |
1 |
1 |
|
Total value |
4 u |
4 u |
1 u |
9 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 dumplings
= (2 u x 2) + (5 u x 1)
= 4 u + 5 u
= 9 u
9 u = 90
1 u = 90 ÷ 9 = 10
Number of children
= 2 u
= 2 x 10
= 20
Answer(s): (a)
47; (b) 20