1. C. 16 Solve linear equations with variables on both sides: word problems H9G Owen and Jamie went to the River County Carnival, and they each spent the same amount of money. Owen spent \( \$ 13 \) on food and played 6 carnival games. Jamie spent \( \$ 8.50 \) on food and played 9 carnival games. All carnival games cost the same. What was the price of each carnival game?

To solve the problem, we need to set up an equation based on the information given about Owen and Jamie's spending. Let \( x \) be the price of each carnival game. **Owen's spending:** - He spent \( \$13 \) on food. - He played 6 carnival games, so he spent \( 6x \) on games. - Therefore, Owen's total spending can be expressed as: \[ 13 + 6x \] **Jamie's spending:** - She spent \( \$8.50 \) on food. - She played 9 carnival games, so she spent \( 9x \) on games. - Therefore, Jamie's total spending can be expressed as: \[ 8.50 + 9x \] Since Owen and Jamie spent the same amount of money, we can set their total spending equal to each other: \[ 13 + 6x = 8.50 + 9x \] Now, we will solve for \( x \). 1. Subtract \( 6x \) from both sides: \[ 13 = 8.50 + 3x \] 2. Subtract \( 8.50 \) from both sides: \[ 13 - 8.50 = 3x \] \[ 4.50 = 3x \] 3. Divide both sides by 3: \[ x = \frac{4.50}{3} = 1.50 \] Thus, the price of each carnival game is \( \boxed{1.50} \).