Question

Edwin has 3 1 2 gallons of green paint. He uses 2 3 of the paint to paint his bedroom. He uses the rest of the paint for a mural in his garage. How much paint does Edwin use for the mural?

Answer 1

Answer:

$2\dfrac{5}{6} gallons$

Step-by-step explanation:

Total Volume of paint =  $3\dfrac12 gallons$

The volume of paint used to paint his bedroom = $\dfrac23$ gallons

Let the volume used for the mural =x.

We then have that:

Total Volume=Volume of paint used for bedroom+Volume used for the mural

$3\dfrac12=\dfrac23+x\\ Subtract \dfrac23 from both sides. \\3\dfrac12-\dfrac23=\dfrac23-\dfrac23+x\\x=\dfrac72-\dfrac23\\x=\dfrac{7(3)-2(2)}{6}\\=\dfrac{17}{6}\\x=2\dfrac{5}{6} gallons$

Therefore, Edwin uses $2\dfrac{5}{6} gallons$ of paint for the mural.