Question

A company sells two versions of an antivirus software. The home edition costs $23.50, and the business edition costs $58.75. Last week, the company earned $29,668.75 from selling 745 copies of the software. If x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold, which system of equations represents this situation? A. B. C. D.

Answer 1

`\left \{ {{x+y=745} \atop {23.50x+58.75y=29,668.75}} \right.`

Explanation:

1. You must analize the information given in the problem.

2. The first equation:

-
`x` represents the number of copies of the home edition sold and
`y` represents the number of copies of the business edition sold.

- A total of 745 copies were sold last week.

- Therefore, if you add the number of copies of the home edition sold and the number of copies of the business edition sold, you will obtain a total of 745 copies, which you can express as below:

`x+y=745`

3. The second equation:

- The cost of each version is:

`23.50x\\58.75y`

- If the company earned a total of $29,668.75, you have:

`23.50x+58.75y=29,668.75`