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erma4kov [3.2K]
3 years ago
13

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?
Mathematics
1 answer:
choli [55]3 years ago
3 0

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.

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