PSLEA caterer prepares hashbrowns for some people attending the birthday party. The ratio of the number of children to the number of adults attending is 7 : 9. Among the adults, the ratio of the number of men to the women is 7 : 2. A total of 312 hashbrowns are prepared so that each child gets 3 hashbrowns and each adult gets 2.
- 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 |
7
|
9
|
16
|
|
|
Men |
Women |
|
Comparison between the number of children and adults |
|
7
|
2
|
|
Number |
7 u |
7 u |
2 u |
16 u |
Value |
3 |
2 |
2 |
|
Total value |
21 u |
14 u |
4 u |
39 u |
(a)
Fraction of the people that are adults =
916 Fraction of the adults that are men =
79 Fraction of the people that are women
=
916 x
79 =
716 (b)
Total number of hashbrowns
= (7 u x 3) + (9 u x 2)
= 21 u + 18 u
= 39 u
39 u = 312
1 u = 312 ÷ 39 = 8
Number of children
= 7 u
= 7 x 8
= 56
Answer(s): (a)
716; (b) 56