Question

You decide to market your own custom computer software. You must invest $3,255 for computer hardware, and spend $2.90 to buy and package each disk. If each program sells for $13.75, write a system of equations and determine how many disks you must sell to break even.

Answer 1

13.75x = 3,255 + 2.90x

Explanation:

Given that,

Amount invested on computer hardware = $3,255

Amount invested to buy and package each disk = $2.90

Selling price for each program = $13.75

We need to find the equation that is used to find how many disks you must sell to break even. Let there are n disks that you must sell.

ATQ,

$3,255 is a fixed amount. $2.90 and $13.75 depends on x.

So,

13.75x = 3,255 + 2.90x

We can solve the above equation to find the no. of disks.

13.75x - 2.90x = 3255

10.85x = 3255

x = 300

Hence, you must sell 300 disks to break even.