SOLUTION: Hi. I have been trying to solve this problem but I don't even know how to set it up. Could you please show me how to solve this problem, from start to finish. Thank you! A pain

Question 703193: Hi. I have been trying to solve this problem but I don't even know how to set it up. Could you please show me how to solve this problem, from start to finish. Thank you!
A painter is paid 9 dollars per hour and can paint 8 m^2 with a roller in this time. Renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m^2 per hour with the spray gun. It takes 1/2 an hour for the painter to clean up after using the roller, but 1 hour using the spray gun. You must pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. How much money do you save by using the spray gun on a paint job that involves painting 40 m^2.
Money Saved = ___________ Dollars
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Maybe you could organize your calculations in a table,
maybe with columns for painting time, cleaning time, total time, labor cost, rental cost, and total cost.

Roller option:
Painting time = (40 m^2)/(8 m^2/hour) = 5 hours.
Clean-up time = 0.5 hours.
Total time = 5 hours + 0.5 hours = 5.5 hours
Labor cost = (5.5 hours)($9/hour) = $49.50
Rental cost = $0
Total cost = $49.50

Spay gun option:
Painting time = (40 m^2)/(20 m^2/hour) = 2 hours.
Clean-up time = 1 hour.
Total time = 2 hours + 1 hour = 3 hours
Labor cost = (3 hours)($9/hour) = $27
Rental cost = (3 hours)($5/hour) = $15
Total cost = $27 + $15 = $42

Money saved = $49.50 - $42 = $7.50
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