Tucker Paul
05/04/2024 · Elementary School

Chap 1 Sects \( 2-3 \mathrm{ws}- \) word Problems Ne a variable, then write and solve an equation for each. Show all work, and answer in a sentence tephan paid \( \$ 156 \) to get his car repaired. He was charged \( \$ 76 \) for parts and \( \$ 40 \) per hour for labor. How many ours did it take to fix his car? Variable:

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Let's denote the number of hours it took to fix the car as \( x \). The total cost of the repair is the sum of the cost of parts and the cost of labor. The cost of parts is given as $76, and the cost of labor is $40 per hour. So, the total cost of the repair can be represented by the equation: \[ 76 + 40x = 156 \] Now, we can solve this equation to find the value of \( x \), which represents the number of hours it took to fix the car. Solve the equation by following steps: - step0: Solve for \(x\): \(76+40x=156\) - step1: Move the constant to the right side: \(40x=156-76\) - step2: Subtract the numbers: \(40x=80\) - step3: Divide both sides: \(\frac{40x}{40}=\frac{80}{40}\) - step4: Divide the numbers: \(x=2\) The number of hours it took to fix the car is 2 hours.

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The number of hours it took to fix the car is 2 hours.
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