human
A gallon of paint covers 350 square feet with two coats. How many gallons are needed to cover a 1,050 square feet wall with three coats, taking into account a 10% paint loss due to evaporation and spillage?
gpt
Step 1: Determine the total square footage to be covered with three coats.
Since the wall is 1,050 square feet, we need to multiply this by the number of coats to find the total square footage to be covered.
1,050 square feet * 3 coats = 3,150 square feet

Step 2: Calculate the total square footage to be covered, accounting for paint loss.
We need to account for a 10% paint loss due to evaporation and spillage. To do this, we will add 10% to the total square footage calculated in step 1.
10% of 3,150 square feet = 0.10 * 3,150 = 315 square feet
Total square footage to be covered, accounting for paint loss = 3,150 + 315 = 3,465 square feet

Step 3: Determine how many gallons of paint are needed.
We know that one gallon of paint covers 350 square feet with two coats. To find out how many gallons are needed to cover 3,465 square feet with three coats, we will first find out how many square feet one gallon of paint covers with three coats.
Since one gallon covers 350 square feet with two coats, we can divide this by 2 to find out how many square feet it covers with one coat:
350 square feet / 2 coats = 175 square feet per coat
Now, we can multiply this by 3 to find out how many square feet one gallon covers with three coats:
175 square feet per coat * 3 coats = 525 square feet

Finally, we will divide the total square footage to be covered (accounting for paint loss) by the square footage covered by one gallon of paint with three coats to find out how many gallons are needed:
3,465 square feet / 525 square feet per gallon = 6.6 gallons

Since we cannot buy a fraction of a gallon of paint, we will round up to the nearest whole number to ensure we have enough paint to cover the entire wall.
Final answer: 7 gallons of paint are needed to cover a 1,050 square feet wall with three coats, taking into account a 10% paint loss due to evaporation and spillage.