In order to set up a system of equations to represent this situation, we need to use the given information to form two equations:
1. The total number of copies sold.
2. The total revenue from selling these copies.
Let's denote:
- \( x \) as the number of copies of the home edition sold.
- \( y \) as the number of copies of the business edition sold.
From the problem, we know the following:
1. The total number of copies sold is 745.
2. The total revenue from selling these copies is $29,668.75.
The costs are:
- Home edition: $23.50 per copy.
- Business edition: $58.75 per copy.
Using this information, we can create these two equations:
1. \( x + y = 745 \) (total number of copies sold)
2. \( 23.50x + 58.75y = 29,668.75 \) (total revenue)
So the system of equations representing this situation is:
\[
\begin{cases}
x + y = 745 \\
23.50x + 58.75y = 29,668.75
\end{cases}
\]
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?
1 answer