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 1 : 14. Among the adults, the ratio of the number of men to the women is 11 : 3. A total of 94 dumplings are prepared so that each child gets 5 dumplings and each adult gets 3.
- What fraction of the people attending the party are men?
- How many children are attending the party?
|
Children |
Adults |
Total |
Comparison between the number of children and adults |
1
|
14
|
15
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
11
|
3
|
|
Number |
1 u |
11 u |
3 u |
15 u |
Value |
5 |
3 |
3 |
|
Total value |
5 u |
33 u |
9 u |
47 u |
(a)
Fraction of the people that are adults =
1415 Fraction of the adults that are men =
1114 Fraction of the people that are women
=
1415 x
1114 =
1115 (b)
Total number of dumplings
= (1 u x 5) + (14 u x 3)
= 5 u + 42 u
= 47 u
47 u = 94
1 u = 94 ÷ 47 = 2
Number of children
= 1 u
= 1 x 2
= 2
Answer(s): (a)
1115; (b) 2