How many hours did the repair take?

Question

The bill for the repair of your refrigerator was $204. The cost for parts was $74. The cost for the service call and the first half hour of service was $50. The additional cost for labor was $16 per half hour. How many hours did the repair work take?

Answer 1

Nia,

You need to write an equation for the total cost and solve for the missing piece.

If t is the total repair time in hours, then t-.5 takes out the 1/2 hour included in the initial fee

and multiplying that by 2 gives you the number of 1/2 hour periods to be billed at 16$.

 

74 + 50 + 16(t-.5)2 = 204

124 + 32t - 16 = 204

32t + 108 = 204

32t = 96

t = 3  hours