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?

1 Answer
Gió
Nov 29, 2016

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!

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