9. At the Holiday Valley Ski Resort, skis cost \( \$ 16 \) to rent and snowboards cost \( \$ 19 \). If 28 people rented on a certain day and the resort brought in \( \$ 478 \), how many skis and snowboards were rented?

To determine how many skis and snowboards were rented at Holiday Valley Ski Resort, let's set up a system of equations based on the information provided. Let: - \( s \) = number of skis rented - \( b \) = number of snowboards rented We have two pieces of information: 1. The total number of rentals is 28: \[ s + b = 28 \] 2. The total revenue from rentals is \$478: \[ 16s + 19b = 478 \] **Step 1: Solve the first equation for one variable.** Let's solve for \( s \): \[ s = 28 - b \] **Step 2: Substitute \( s \) into the second equation.** \[ 16(28 - b) + 19b = 478 \] \[ 448 - 16b + 19b = 478 \] \[ 448 + 3b = 478 \] **Step 3: Solve for \( b \).** \[ 3b = 478 - 448 \] \[ 3b = 30 \] \[ b = 10 \] **Step 4: Find \( s \) using the value of \( b \).** \[ s = 28 - 10 = 18 \] **Conclusion:** - **Skis rented:** 18 - **Snowboards rented:** 10 **Answer:** 18 skis and 10 snowboards were rented.