A painter uses the expression $35h + 30c$ to determine how much he charges a customer for a job that takes h hours and c cans of paint. His last job required 3 cans of paint and took 15 hours to complete. How much did the painter charge?
Answer (2)
The painter charged $615 for the job, calculated using the expression 35h + 30c by substituting h = 15 and c = 3. The breakdown includes $525 for hours worked and $90 for cans of paint. Therefore, the total charge is $615.
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Substitute the given values h = 15 and c = 3 into the expression.
Calculate the cost for the hours: 35 × 15 = 525 .
Calculate the cost for the cans of paint: 30 × 3 = 90 .
Add the two costs to find the total charge: 525 + 90 = 615 .
Explanation
Understanding the Problem We are given the expression 35 h + 30 c to calculate the painter's charge, where h is the number of hours and c is the number of cans of paint. We are also given that h = 15 hours and c = 3 cans. Our goal is to find the total charge for the job.
Substituting the Values Now, we substitute the given values into the expression: 35 ( 15 ) + 30 ( 3 ) .
Performing Multiplications Next, we perform the multiplications: 35 × 15 = 525 and 30 × 3 = 90 .
Calculating the Total Charge Finally, we add the two results to find the total charge: 525 + 90 = 615 . Therefore, the painter charged $615 for the job.
Examples
Imagine you're running a small business where you charge an hourly rate plus a fixed cost for materials. This problem is similar to calculating the total cost for a service, like tutoring or consulting, where you have an hourly rate and additional expenses. By using a simple algebraic expression, you can easily determine the total charge for your services. This helps in setting prices, managing budgets, and ensuring profitability in your business ventures.
