Problem 32
Question
A repair bill on a sailboat came to \(\$ 1603,\) including \(\$ 532\) for parts and the remainder for labor. If the cost of labor is \(\$ 63\) per hour, how many hours of labor did it take to repair the sailboat?
Step-by-Step Solution
Verified Answer
It took 17 hours of labor to repair the sailboat.
1Step 1: Calculate the Total Labor Cost
To find the total labor cost, subtract the amount spent on parts from the total bill. This can be calculated using the formula \(Total Labor Cost = Total Bill - Parts Cost\), which equates to \(Total Labor Cost = \$1603 - \$532 = \$1071\).
2Step 2: Calculate the Number of Labor Hours
To find the number of labor hours, divide the total labor cost by the labor rate per hour. This can be calculated using the formula \(Labor hours = Total Labor Cost / Labor Rate Per Hour\), which then equates to \(Labor hours = \$1071 / \$63\).
3Step 3: Round to the Nearest Hour
Given that labor is typically accounted for in whole hours, it would be typical to round the result from Step 2 to the nearest hour. Therefore, \(Labor hours = 17\).
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