Question

The total cost of repairing a car is the sum of the amount paid for parts and the amount paid for labor. You paid $78 for parts and $45 for each hour of labor. The total cost to repair the car was $168. How many hours did it take to repair the car?

1) Copy and complete the verbal model.
Total COST
for reballs
Cost for each hour of labor
2) Let h represent the number of hours spent on labor. Write an equation based on your verbal model.
3 Solve the equation to find how many hours it took to repair

Answer 1

Explanation:

To find the number of hours it took to repair the car, we can use the information given in the question. First, let's calculate the total amount paid for parts and labor. We are told that the amount paid for parts is $78. Next, we are told that the amount paid for labor is $45 per hour. Let's assume the number of hours it took to repair the car is 'x'. So, the amount paid for labor would be $45 multiplied by 'x'. According to the question, the total cost to repair the car is $168. Now, we can set up an equation to solve for 'x'. The equation would be: $78 + $45x = $168 To solve this equation, we need to isolate 'x' on one side. First, we subtract $78 from both sides of the equation: $45x = $168 - $78 Simplifying, we have: $45x = $90 Now, to solve for 'x', we divide both sides of the equation by $45: x = $90 / $45 Simplifying further, we get: x = 2 Therefore, it took 2 hours to repair the car.