SOLUTION: Your next step is to paint the exterior of your fort, EXCEPT FOR ANY PARTS THAT ARE ON THE GROUND. After some research, you decide to purchase 1 gallon of exterior paint/primer.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Your next step is to paint the exterior of your fort, EXCEPT FOR ANY PARTS THAT ARE ON THE GROUND. After some research, you decide to purchase 1 gallon of exterior paint/primer.       Log On

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Question 1181361: Your next step is to paint the exterior of your fort, EXCEPT FOR ANY PARTS THAT ARE ON THE GROUND. After some research, you decide to purchase 1 gallon of exterior paint/primer. Each gallon covers 400 square feet and costs $40.98.
1) Determine the minimum number of gallons of paint you will need to complete the job.
2)You have a Lowe’s credit card and receive a 5% discount with every purchase. After the discount has been applied, you will pay the Virginia sales tax of 5.3%. What will be the final total of your paint purchase?
Gallons to be purchased:
final cost:
s.a of my fort=5680ft^2
volume of my fort=18,728.94ft^3
could you please show work so I know how you solved this? thanks.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your next step is to paint the exterior of your fort, EXCEPT FOR ANY PARTS THAT ARE ON THE GROUND.
After some research, you decide to purchase 1 gallon of exterior paint/primer. Each gallon covers 400 square feet and costs $40.98.
1) Determine the minimum number of gallons of paint you will need to complete the job.
2)You have a Lowe’s credit card and receive a 5% discount with every purchase.
After the discount has been applied, you will pay the Virginia sales tax of 5.3%. What will be the final total of your paint purchase?
Gallons to be purchased:
final cost:
s.a of my fort=5680ft^2
volume of my fort=18,728.94ft^3
could you please show work so I know how you solved this? thanks.
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                I will explain it to you in steps.


(1)  Divide surface area of  5680 ft^2  by 400 ft^2  to find the number of gallons as decimal.



(2)  Round the decimal fraction to the closest greater integer number of gallons to find the number of cans to buy.



(3)  Multiply the integer number of cans with the paint by 40.98 dollars to find the cost of the purchase 
     before discount and before tax.



(4)  Multiply the cost by 0.95 = 1 - 0.05  to account for the 5% discount.


(6)  Multiply the discounted cost by 1.053 to account for the tax.


(7)  What you will get after completing step (6) - - - will be your answer.

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The problem is solved and carefully explained step by step in all details.

You should be totally satisfied, I hope.


Have a nice day (!)