Math

QuestionJonathan's computer repair cost \336,with$141forparts.Iflaboris$xperhourfor3hours,find336, with \$141 for parts. If labor is \$x per hour for 3 hours, find x$.

Studdy Solution

STEP 1

Assumptions1. The total cost of the repair is 336.Thecostofthepartsis336. The cost of the parts is pandisequalto and is equal to 1413. The technician worked for3 hours4. The cost of labor per hour is xx
5. The total cost is the sum of the cost of parts and the labor cost

STEP 2

First, we need to write an equation that represents the total cost. The total cost is the sum of the cost of the parts and the labor cost.
Totalcost=Costofparts+LaborcostTotal\, cost = Cost\, of\, parts + Labor\, cost

STEP 3

We know that the labor cost is the product of the number of hours worked and the cost of labor per hour. So, we can rewrite the labor cost as 3x3x.
Totalcost=Costofparts+3xTotal\, cost = Cost\, of\, parts +3x

STEP 4

Now, plug in the given values for the total cost and the cost of parts.
336=141+3x336 =141 +3x

STEP 5

Next, we need to solve for xx. First, subtract141 from both sides of the equation.
336141=141+3x141336 -141 =141 +3x -141

STEP 6

implify the equation.
195=3x195 =3x

STEP 7

Finally, divide both sides of the equation by3 to solve for xx.
x=195/3x =195 /3

STEP 8

Calculate the value of xx.
x=195/3=65x =195 /3 =65The cost of labor per hour is $65.

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