Gwen sells fax machines that come in Standard and Enhanced models. The Standard model sells for \( \$ 325 \) and the Enhanced model sells for \( \$ 385 \). If Gwen sold a total of 35 units and took in \( \$ 12,575 \), how many of the Enhanced model did she sell?

Let's denote the number of Standard models sold as \( x \) and the number of Enhanced models sold as \( y \). We can set up two equations based on the information provided: 1. The total number of units sold: \[ x + y = 35 \] 2. The total revenue from sales: \[ 325x + 385y = 12,575 \] Now, we can solve this system of equations. From the first equation, we can express \( x \) in terms of \( y \): \[ x = 35 - y \] Now, we substitute \( x \) into the second equation: \[ 325(35 - y) + 385y = 12,575 \] Now, distribute \( 325 \): \[ 11,375 - 325y + 385y = 12,575 \] Combine like terms: \[ 11,375 + 60y = 12,575 \] Next, subtract \( 11,375 \) from both sides: \[ 60y = 1,200 \] Now, divide both sides by 60: \[ y = 20 \] Now that we have \( y \), we can find \( x \): \[ x = 35 - y = 35 - 20 = 15 \] Thus, Gwen sold 20 Enhanced models.