Naomi and Claire are painting a mural. Naomi paints 2 square feet per hour and has already painted 16.5 square feet.
Claire paints 4 square feet per hour and has already painted 7.5 square feet.

How many more hours will it take for Naomi and Claire to paint an equal total number of square feet?

Respuesta :

Answer:

4.5 hours

Step-by-step explanation:

let t be the time elapsed

Therefore, we can set up a system of equations and solve accordingly

2t + 16.5 = 4t + 7.5

2t = 9

t = 4.5 hours more till they paint the same amount in square feet

The number of hours  it will  take for Naomi and Claire to paint an equal total number of square feet is 4.5 hours.

Let x represent the number of hours

2x + 16.5 = 4x + 7.5

4x-2x=16.5-7.5

Divide both side by 2x

2x = 9

x=9/2

x=4.5 hours

Inconclusion the number of hours  it will  take for Naomi and Claire to paint an equal total number of square feet is 4.5 hours.

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