A repair bill on a sailboat came to $2356, including $826 for parts and the remainder for labor. If the cost of labor is $90 per hour, how many hours of labor did it take to repair the sailboat?

Verified step by step guidance

1. Start by identifying the total repair bill, which is $2356.
2. Subtract the cost of parts, $826, from the total repair bill to find the total cost of labor: $2356 - $826.
3. The result from the previous step gives you the total labor cost.
4. Since the cost of labor is $90 per hour, divide the total labor cost by $90 to find the number of hours worked.
5. The quotient from the division will give you the number of hours of labor it took to repair the sailboat.

Key Concepts

Total Cost Calculation

To find the total cost of a service or product, you sum all individual costs. In this case, the total repair bill of $2356 includes both parts and labor. Understanding how to isolate these components is crucial for solving the problem.

Subtraction for Remainder

To determine the cost of labor, you need to subtract the cost of parts from the total bill. This operation helps identify how much of the total cost is attributed to labor, which is essential for calculating the number of hours worked.

Unit Rate and Division

The cost of labor is given as a rate of $90 per hour. To find the total hours worked, you divide the total labor cost by the hourly rate. This concept of unit rate is fundamental in converting total costs into quantities, such as hours in this scenario.