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max2010maxim [7]
3 years ago
9

Please answer! It would be appreciated if work is also shown!

Mathematics
1 answer:
borishaifa [10]3 years ago
3 0

Quantity of paint left = \frac{389}{480} gallons

Solution:

Quantity of yellow paint = 1\frac{1}{5}=\frac{6}{5} gallons

Quantity of green paint = 1\frac{1}{6}=\frac{7}{6} gallons

Quantity of blue paint = \frac{7}{8} gallons

Quantity of paint used = \frac{3}{4} gallons of each paint

Quantity of paint left = 1-\frac{3}{4}=\frac{1}{4} gallons of each paint

Quantity of paint left = (\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}

Taking LCM for 5, 6, 8, we get LCM = 120

(\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}=(\frac{144}{120}+\frac{140}{120}+\frac{105}{120})\times\frac{1}{4}

                         =(\frac{389}{120})\times\frac{1}{4}

                         =\frac{389}{480}

Hence, Mark will have \frac{389}{480} gallons of paint left after painting the mural.

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