Adam is planning a pool party to celebrate the last day of school. He wants to give out beach towels to his guests as party favors. Adam ordered 14 beach towels from Sunshine Party Supply. Since this was a bulk order, Sunshine Party Supply reduced the price of each towel by \( \$ 3.25 \). Adam paid \( \$ 105 \) in all. How much does Sunshine Party Supply normally charge for a beach towel?

Let's denote the original price of each beach towel as \( x \) dollars. According to the information provided: 1. Adam ordered 14 beach towels. 2. The price of each towel was reduced by $3.25. 3. Adam paid a total of $105. We can set up an equation to represent the total cost of the beach towels: \[ 14(x - 3.25) = 105 \] Now, we can solve this equation to find the original price of each beach towel. Solve the equation by following steps: - step0: Solve for \(x\): \(14\left(x-3.25\right)=105\) - step1: Multiply the terms: \(14x-45.5=105\) - step2: Move the constant to the right side: \(14x=105+45.5\) - step3: Add the numbers: \(14x=150.5\) - step4: Divide both sides: \(\frac{14x}{14}=\frac{150.5}{14}\) - step5: Divide the numbers: \(x=\frac{43}{4}\) The original price of each beach towel is $10.75. Therefore, Sunshine Party Supply normally charges $10.75 for a beach towel.