Knowee
Questions
Features
Study Tools

One quart of paint will cover 115115 square feet of a surface. A room has a total wall area of w𝑤 square feet. Which equation represents the total amount of paint P𝑃, in gallons, needed to paint the walls of the room twice? (Note: 11 gallon = 44 quarts)

Question

One quart of paint will cover 115115 square feet of a surface. A room has a total wall area of w𝑤 square feet. Which equation represents the total amount of paint P𝑃, in gallons, needed to paint the walls of the room twice? (Note: 11 gallon = 44 quarts)

🧐 Not the exact question you are looking for?Go ask a question

Solution

The first step is to understand that painting the walls twice doubles the area that needs to be covered. So, the total area to be painted is 2w square feet.

Next, we know that one quart of paint covers 115 square feet. Therefore, the amount of paint needed in quarts is 2w/115.

However, the question asks for the answer in gallons, and we know that 1 gallon equals 4 quarts. So, we need to convert our answer from quarts to gallons by dividing by 4.

Therefore, the equation representing the total amount of paint P, in gallons, needed to paint the walls of the room twice is P = (2w/115)/4.

This can be simplified to P = w/230.

This problem has been solved

Similar Questions

Becky wants to paint the walls in her bedroom. A gallon of paint will cover 300ft2. She measures the surface to be painted; it's 73,440in2. How many gallons of paint should she buy?

David has of a gallon of paint. He used of a gallon to paint a wall. Which equation represents how much paint David has left after painting the wall? A. B. C. D.

The ceiling of a building, 18 meters by 15 meters, is to be painted. How many gallons of paint are required for this ceiling if a gallon can cover 15 square meters?

A monument outside city hall has dimensions as shown in the figure below. If one gallon of paint can cover 225 ft2, how many gallons of paint must be bought in order to paint the monument? Assume that the base of the monument cannot be painted and that paint can be bought only by the gallon.14ft10ft46ft10ft

A rectangular room is 9m long, 3m high and 3.5m wide. The cost of painting the room is $14 per square metre. What is the cost of giving the entire room a coat of paint if I get a 10% discount? (Paint does not include ceiling and floor)A$1050B$1323C$945D$525ENone of the above

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.