Let the cost of the computer be $

and the cost of the software be $

The total cost the business owner incurred was $

This means that,

We were given another information concerning the relationship between cost of the computer and that of the software.
That is, the computer costs 4 times the software.
Mathematically, we express this relation as,

Now, we substitute equation 2 into equation 1 to obtain,

We simplify to get,

Divide both sides by 5.

Simplify to obtain,

Hence the cost of the software is $800