To solve for the number of each type of guitar string Kenny ordered, we can set up two equations based on the information provided.
-
The total number of strings ordered: \[ x + y = 80 \]
Here, \( x \) represents the number of premium strings and \( y \) represents the number of standard strings.
-
The total value of the order based on the prices: \[ 4.50x + 1.50y = 225 \]
Now, we have a system of linear equations:
- \( x + y = 80 \)
- \( 4.50x + 1.50y = 225 \)
With these equations, Kenny can now solve for \( x \) and \( y \).