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 (3)
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.
we have
Y ellow paint
1 3 1 = ( 3 ∗ 1 + 1 ) /3 = 3 4 g a l
Find the amount of yellow paint left after painting the mural
( 3 4 − 4 3 ) = ( 4 ∗ 4 − 3 ∗ 3 ) /12 = 12 7 g a l
Green paint
1 4 1 = ( 4 ∗ 1 + 1 ) /4 = 4 5 g a l
Find the amount of green paint left after painting the mural
( 4 5 − 4 3 ) = ( 5 − 3 ) /4 = 4 2 g a l
Blue paint
8 7 g a l
Find the amount of blue paint left after painting the mural
( 8 7 − 4 3 ) = ( 7 − 2 ∗ 3 ) /8 = 8 1 g a l
Find the total amount of paint left after painting the mural
12 7 + 4 2 + 8 1 = 24 ( 2 ∗ 7 + 6 ∗ 2 + 3 ∗ 1 ) = 24 29 g a l
24 29 = 1 24 5 g a l
therefore
the answer is
1 24 5 g a l
After Mark finishes painting, he will have 1 1/12 gallons of paint left. This includes amounts of yellow, green, and blue paint. Each color was reduced by 3/4 of the original amount he had.
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