Question

mark wants to paint a mural. He has 1 1/3 gallons of yellow paint, 1 1/4 gallons of green paint, and 7/8 gallon of blue paint. mark plans to use 3/4 of each paint color. how many gallons of paint will he have left after painting the mural

Answer 1

Mark has: 1 1/3 = 4/3 gallons of Yellow
1 1/4 = 5/4 gallons of Green
7/8 gallons of Blue.

Total = (4/3 + 5/4 + 7/8) LCM = 24
= (32 + 30 + 21)/24 = 83/24 Gallons of Paint in total.

If he used 3/4 of each, he would have (1 - 3/4) = 1/4 of each left.

Therefore gallons left = 1/4 * (83/24) = 83/96 gallons left.
= 0. 8646 gallons left in total.

Answer 2

we have

Yellow paint

`1(1)/(3) =(3*1+1)/3\\ \\ =(4)/(3) gal`

Find the
amount of yellow paint left after painting the mural

`((4)/(3) -(3)/(4) )=(4*4-3*3)/12\\ \\ =(7)/(12) gal`

Green paint

`1(1)/(4) =(4*1+1)/4\\ \\ =(5)/(4) gal`

Find the
amount of green paint left after painting the mural

`((5)/(4) -(3)/(4) )=(5-3)/4\\ \\ =(2)/(4) gal`

Blue paint

`(7)/(8)gal`

Find the
amount of blue paint left after painting the mural

`((7)/(8) -(3)/(4) )=(7-2*3)/8\\ \\ =(1)/(8) gal`

Find the
total amount of paint left after painting the mural

`(7)/(12) +(2)/(4) +(1)/(8) =((2*7+6*2+3*1))/(24) \\ \\ =(29)/(24) gal`

`(29)/(24) =1(5)/(24) gal`

therefore

the answer is

`1(5)/(24) gal`