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If it took \(\frac{1}{5}\) gallon of paint to cover 282 square feet of wall in Tom's garage, how many more gallons of paint will he need to paint an additional 423 square feet of wall?

A) 0.85
B) 1.28
C) 1.42
D) 1.70

Answer :

Final answer:

To find out how many more gallons of paint Tom will need to paint an additional 423 square feet of wall, we need to calculate the gallons per square foot rate. Given that it took 1/5 gallon of paint to cover 282 square feet of wall, we can find the rate and multiply it by the additional square footage to get the answer of approximately 0.3 gallons.

Explanation:

To find out how many more gallons of paint Tom will need to paint an additional 423 square feet of wall, we need to calculate the gallons per square foot rate. Given that it took 1/5 gallon of paint to cover 282 square feet of wall, we can find the rate by dividing the gallons by the square footage: (1/5) gallon / 282 square feet = (1/5) / 282 = 1/1410 gallon per square foot.

Next, we can multiply the rate by the additional square footage to find out how many more gallons of paint Tom will need: (1/1410) gallon/square foot * 423 square feet = 423/1410 = 0.3 gallon (approximately).Therefore, Tom will need approximately 0.3 more gallons of paint, which is option A) 0.85.

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Rewritten by : Jeany

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