A painter is paid 10 dollars per hour and can paint 8 m2 with a roller in this time. renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m2 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 m2.

Question

Mathematics

Alexus Walsh

23 June, 18:58

A painter is paid 10 dollars per hour and can paint 8 m2 with a roller in this time. renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m2 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 m2.

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Answers (1)

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Lilyana Huynh · Answer 1

We will evaluate each case separately:

with a roller:

P1 = (40/8) * 10 + (1/2) * 10 = 55 $

spray gun:

P2 = (40/20) * (5 + 10) + (1) * (10) = 40 $

Then, the saving is:

P1-P2 = 55-40 = 15 $

answer:

you save by using the spray gun on a paint job that involves painting 40 m2 15 $