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Stacy and Neil painted 280 ft^2 of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 gallons of paint? Enter your answer in the box.

Respuesta :

calculista

we know that

Stacy and Neil painted [tex]280\ ft^2[/tex] of their living room wall with [tex]4/5\ gallon[/tex] of paint

so

by proportion

Find how many square feet can they paint with [tex]3[/tex] gallons of paint

[tex]\frac{280}{(4/5)} \frac{\ ft^{2} }{gallons} =\frac{x}{3} \frac{\ ft^{2} }{gallons} \\ \\x* \frac{4}{5} =3*280\\ \\x=\frac{5}{4}*3*280\\ \\x=1,050\ ft^{2}[/tex]

therefore

the answer is

[tex]1,050\ ft^{2}[/tex]

The square feet that can be painted with 3 gallons of paint is  1050 square feet.

The first step to take in order to determine the square feet that can be painted with 3 gallons, the square feet that can be painted with 1 gallon of paint has to be determined.

Number of square feet that can be painted with one gallon = 280 ft² ÷ [tex]\frac{4}{5}[/tex]

280 x [tex]\frac{5}{4}[/tex] = 280 feet

The second step is to determine the square feet can be painted with 3 gallons of paint.

280 feet x 3 = 1050 square feet.

A similar question was answered here: https://brainly.com/question/18157131?referrer=searchResults

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