- 1 gallon of paint will cover approximately 400 square feet - For every 2 gallo

Question

-          1 gallon of paint will cover approximately 400 square feet

-          For every 2 gallons of paint for a wall, you need 1 gallon of paint for the trim

-          John has a deal with the local paint store and can get any paint he wants for $25 per gallon
[Note: John cannot purchase ½ a gallon of paint.]

-          Every job requires 5 tubes of caulk ($2.50 each) and 5 clean paint brushes ($5 each).

-          John finds that a painter can apply a gallon of paint in about 8 hours.

Write a formula reflecting the price estimate for a house based on the number of square feet that need to be painted. Assume that John can accurately estimate the painted area (in square feet) and the amount of time it takes to complete the prep-work on a job.   

Explanation / Answer

400 sq. ft. = 1 gal 2 gal paint = 1 gal trim fixed costs = 5(2.50) + 5(5) = $37.50 If he needs 1 Gal for every 400 square feet, he needs 2 Gal paint and 1 Gal trim for every 800 square feet. This means that he needs $75 in paint for every 800 square feet, for a per-square feet cost of $75/800. Total cost = $75/800 (sq. feet needed to paint) + $37.50 His price estimate = 1.25 (total cost), since that will give him 25% profit.

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