Question

Kaylee has 2 gallons each of red and blue paint, and 1 gallon each of orange and green paint. She paints her bedroom with these jars of paint. If she uses $\frac{2}{3}$ of the red paint, $\frac{1}{4}$ of the blue paint, $\frac{1}{2}$ of the orange paint, and $\frac{5}{7}$ of the green paint, how much paint (in gallons) does Kaylee have left over

Answer 1

62/21

Explanation:

4 gallons total of red and blue paint (2 each), so the amount of red and blue paint she didn't use is 4-(2*(2/3+1/4)), so 2/3+1/4= 11/12, and (11/12)*2= 11/6, and last of all 4-(11/6)= 13/6. Now Kaylee also has 2 gallons total of orange and green paint (1 each), so the amount of orange and green paint she didn't use is 2-(1*(1/2+5/7)), so 1/2+5/7=17/14, and 2-(17/14)= 11/14. Now all you have to do is add the two totals of leftover paint together, so 13/6+11/14 --> 62/21.

Answer 2

3( 73/84 )left over

Explanation:

She had 6 gallons in total

2/3+1/4+1/2+5/7=179/84 = 2 ( 11/84)

6/1-179/84 = 325/84 = 3(73/84)

She used 179/84

She have left 325/84

179/84 + 325/84 = 6

With mixed numbers:

2 11/84

3 73/84

2+3=5 11/84+73/84= 84/84 =1

5+1=6