PSLEA caterer prepares hashbrowns for some people attending the wedding party. The ratio of the number of children to the number of adults attending is 2 : 11. Among the adults, the ratio of the number of women to the men is 6 : 5. A total of 387 hashbrowns are prepared so that each child gets 5 hashbrowns 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
|
11
|
13
|
|
|
Women |
Men |
|
Comparison between the number of children and adults |
|
6
|
5
|
|
Number |
2 u |
6 u |
5 u |
13 u |
Value |
5 |
3 |
3 |
|
Total value |
10 u |
18 u |
15 u |
43 u |
(a)
Fraction of the people that are adults =
1113 Fraction of the adults that are women =
611 Fraction of the people that are men
=
1113 x
611 =
613 (b)
Total number of hashbrowns
= (2 u x 5) + (11 u x 3)
= 10 u + 33 u
= 43 u
43 u = 387
1 u = 387 ÷ 43 = 9
Number of children
= 2 u
= 2 x 9
= 18
Answer(s): (a)
613; (b) 18