A repair bill for your car is $553, and the parts cost $265. The labor cost is $48 per hour. How do you write and solve and equation to find the number of hours of labor spent repairing the car?

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Answer 1 · 2015-11-01T10:05:45

#553 = 265 + 48t#
#t = 6#

Let #R# be the repair bill
Let #P# be the cost of parts
Let #L# be the labor cost

#R = P + L#

#R = 553#
#P = 265#

#553 = 265 + L#

Let #t# be the labor duration
Let #r# be the labor rate

#L = rt#

#r = 48#

#=> L = 48t#

#553 = 265 + L#

#=> 553 = 265 + 48t#
#=> 288 = 48t#
#=> t = 6#