Let the cost of the computer be $
[tex]c[/tex]
and the cost of the software be $
[tex]s[/tex]
The total cost the business owner incurred was $
[tex]4000[/tex]
This means that,
[tex]c + s = 4000 - - - (1)[/tex]
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,
[tex]c = 4s - - - (2)[/tex]
Now, we substitute equation 2 into equation 1 to obtain,
[tex]4s + s = 4000[/tex]
We simplify to get,
[tex]5s = 4000[/tex]
Divide both sides by 5.
[tex] \frac{5s}{5} = \frac{4000}{5} [/tex]
Simplify to obtain,
[tex]s = 800[/tex]
Hence the cost of the software is $800
