Question

A business owner spent $4000 for a computer and software. For bookkeeping purposes, he needs to post the price of the computer and software separately. The computer costs 4 times as much as the software. What is the cost of the computer?

Answer 1

$3200

Explanation:

Let price of computer be
`c` and price of software be
`s`

• "A business owner spent $4000 for a computer and software"

From this statement, we can write:
`c+s=4000`

• "The computer costs 4 times as much as the software"

From this statement, we can write:
`c=4s`

Substituting 2nd equation into the first and solving for
`s`:

`c+s=4000\\(4s)+s=4000\\5s=4000\\s=(4000)/(5)=800`

We want to know price of computer, which is 4 times this, so we have:

`c=4(800)=3200`

Thus, the computer costed $3200