An electrician charges a basic fee plus an hourly rate. For 2 hours of work, he charged $74. For 4 hours of work, he charged $118. What is his basic fee and what is his hourly rate? This problem can be solved without algebra.
Answer:
His hourly rate is $22/hour and his basic fee is $30.
4 hours + fee - 2 hours + fee = 2 hours
$118 - $74 = $44 (2 hours of work without the fee)
$22 = hourly rate
$74 --- $44 = $30 (basic fee)
Using algebra:
Let x = fee
(74 - x) = 2 hours of work without fee
x + 2(74 - x) = $118
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