Question

it takes 2/3 of a gallon of paint to cover 3/4 of a wall. How many gallons of paint are needed to cover a full wall?

Answer 1

It takes 8/9 of a gallon of paint to cover a full wall when 2/3 of a gallon covers 3/4 of a wall. You find this by setting up a proportion and solving for the unknown quantity of paint.

Step-by-step explanation:

To find out how many gallons of paint are needed to cover a full wall when 2/3 of a gallon of paint covers 3/4 of a wall, you can set up a proportion. If 2/3 of a gallon is for 3/4 of a wall, then for a full wall (which is 4/4), you need to find out how much paint that would be.

First, set up the proportion as follows:

• (2/3 gallon)/(3/4 wall) = (x gallons)/(1 wall)

Next, solve for x by cross-multiplying:

• 2/3 * 4/4 = x/1
• 2/3 * 1 = x
• x = (2/3) * (4/3)
• x = 8/9 gallons

Therefore, you will need 8/9 of a gallon to cover the full wall.

Answer 2

We can start by using a proportion to find the amount of paint needed to cover a full wall:

(2/3 gallons) / (3/4 of a wall) = (x gallons) / (1 full wall)

To solve for x, we can cross-multiply and simplify:

(2/3) / (3/4) = x / 1

2/3 * 4/3 = x

8/9 = x

Therefore, it takes 8/9 of a gallon of paint to cover a full wall.