Question

27.

Eugene bought 27 comics and 12 magazines for $126. If 3 comics cost

as much as 2 magazines, find the cost of each comic.

Answer 1

The cost of comic is $2.8 and the cost of magazine is $4.2.

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.
`3c=2m`

`c=(2m)/(3)` ....(1)

Eugene bought 27 comics and 12 magazines for $126.

i.e.
`27c+12m=126` .....(2)

Substitute the value of c from (1) in (2),

`27((2m)/(3))+12m=126`

`18m+12m=126`

`30m=126`

`m=(126)/(30)`

`m=4.2`

Substitute in (1),

`c=(2(4.2))/(3)`

`c=(8.4)/(3)`

`c=2.8`

So, The cost of comic is $2.8 and the cost of magazine is $4.2.