Answer:
The cost of comic is $2.8 and the cost of magazine is $4.2.
Step-by-step explanation:
Given : Eugene bought 27 comics and 12 magazines for $126. If 3 comics cost as much as 2 magazines.
To find : The cost of each comic ?
Solution :
Let the cost of a comic be 'c'
the cost of a magazine be 'm'
If 3 comics cost as much as 2 magazines.
i.e. [tex]3c=2m[/tex]
[tex]c=\frac{2m}{3}[/tex] ....(1)
Eugene bought 27 comics and 12 magazines for $126.
i.e. [tex]27c+12m=126[/tex] .....(2)
Substitute the value of c from (1) in (2),
[tex]27(\frac{2m}{3})+12m=126[/tex]
[tex]18m+12m=126[/tex]
[tex]30m=126[/tex]
[tex]m=\frac{126}{30}[/tex]
[tex]m=4.2[/tex]
Substitute in (1),
[tex]c=\frac{2(4.2)}{3}[/tex]
[tex]c=\frac{8.4}{3}[/tex]
[tex]c=2.8[/tex]
So, The cost of comic is $2.8 and the cost of magazine is $4.2.
