Question

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

Answer 1

Quantity of paint left =
`(389)/(480)` gallons

Solution:

Quantity of yellow paint =
`1(1)/(5)=(6)/(5)` gallons

Quantity of green paint =
`1(1)/(6)=(7)/(6)` gallons

Quantity of blue paint =
`(7)/(8)` gallons

Quantity of paint used =
`(3)/(4)` gallons of each paint

Quantity of paint left =
`1-(3)/(4)=(1)/(4)` gallons of each paint

Quantity of paint left =
`((6)/(5)+(7)/(6)+(7)/(8))*(1)/(4)`

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

`((6)/(5)+(7)/(6)+(7)/(8))*(1)/(4)=((144)/(120)+(140)/(120)+(105)/(120))*(1)/(4)`

`=((389)/(120))*(1)/(4)`

`=(389)/(480)`

Hence, Mark will have
`(389)/(480)` gallons of paint left after painting the mural.