Question

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

Answer 1

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.