Joel used a half gallon of paint to cover 84 square feet of wall. He has 932 square feet of wall to paint. How many gallons of paint should he purchase?

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Answer:

6 Gallons of Paint

Step-by-step explanation:

If you use a half gallon of paint to cover 84 square feet, how much could you paint with a full gallon? Lets figure it out:

[tex]\frac{1}{2} = 84[/tex]

multiply both sides by 2 so that the 1/2 gallon is now 1 gallon:

[tex]\frac{1}{2} * 2 = 84 * 2[/tex]

1 gallon = 168 square feet

now, how many gallons does it take to paint 932 square feet?

Divide 932 by 168:

[tex]\frac{932}{168} = 5.548[/tex]

Just like you cant buy 2.374 cheeseburgers, you cant buy 5.548 gallons of something so we round up and will have some paint left over once the job is done. So 6 gallons is the answer

The amount of gallons needed is 5.55gallons approximately

If Joel used a half-gallon of paint to cover 84 square feet of wall, this can be expressed using the equality sign as:

1/2 gallons = 84 square feet

In order to find the number of gallons for 932 square feet of wall to paint, we will write:

x = 932 square feet

Divide both expressions

1/2x = 84/932

2x = 932/84

2x = 11.09

x = 11.09/2

x = 5.55 gallons

This shows that the amount of gallons needed is 5.55gallons approximately

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