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

Answer:

$3200

Step-by-step 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 $s$:

$c+s=4000\\(4s)+s=4000\\5s=4000\\s=\frac{4000}{5}=800$

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

$c=4(800)=3200$

Thus, the computer costed $3200