Question

Jacques can buy six CDs and three video cassettes for $163.7 or he can buy nine CDs and two video cassettes for $200.53. How do you find the price of one video cassette?

Answer 1

I got: `$18.01` for the VHS and `$18.28` for the CDs.

Explanation:

Let us call the price of CDs `c` and of the Videos `v`; we can write:
`6c+3v=163.7`
`9c+2v=200.53`

we can isolate `c` from the first and substitute into the second:
`c=(163.7-3v)/6`
and:
`9(163.7-3v)/6+2v=200.53`
`1473.3-27v+12v=1203.18`

`v=18.01`

and so:

`c=(163.7-3*18.01)/6=18.28`

Considering that nowadays it is almost impossible to find video cassettes and even CDs are difficult to come by....I suspect the exercise is quite old!