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QuestionTheodore's bill was \$ 899, with \$ 335 for parts. If labor costs \$ 47/hour, how many hours of labor were needed?
(A) Write an equation using xx. (B) Solve for xx. Answer: The number of labor hours was

Studdy Solution

STEP 1

Assumptions1. The total bill amount is 899.Thecostforpartsis899. The cost for parts is 3353. The rest of the bill is for labor, charged at an hourly rate of 474.Wearelookingforthenumberoflaborhours,whichwe′llrepresentas474. We are looking for the number of labor hours, which we'll represent as x$

STEP 2

First, we need to find the total labor cost. We can do this by subtracting the cost for parts from the total bill.
Labor cost=Total bill−Parts costLabor\, cost = Total\, bill - Parts\, cost

STEP 3

Now, plug in the given values for the total bill and parts cost to calculate the labor cost.
Labor cost=$899−$335Labor\, cost = \$899 - \$335

STEP 4

Calculate the labor cost.
Labor cost=$899−$335=$564Labor\, cost = \$899 - \$335 = \$564

STEP 5

Now that we have the labor cost, we can find the number of labor hours by dividing the labor cost by the hourly rate.
Labor hours=Labor cost/Hourly rateLabor\, hours = Labor\, cost / Hourly\, rate

STEP 6

Plug in the values for the labor cost and the hourly rate to calculate the number of labor hours.
Labor hours=$564/$47Labor\, hours = \$564 / \$47

STEP 7

Calculate the number of labor hours.
Labor hours=$564/$47=12 hoursLabor\, hours = \$564 / \$47 =12\, hoursTheodore needed12 hours of labor to complete the job.

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