Question

I NEED to know the answer and steps to figure out, 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 gallons of each paint color. How many gallons of paint will he have left after painting the mural?

Answer 1

Well, Mark has

1 1/3 of yellow paint

1 1/4 of green paint  and

7/8 of blue paint

now, bear in mind, the yellow is a bucket and 1/3 more, the green one is one bucket and 1/4 more and the blue is 7/8 which is almost 8/8, so is almost a bucketfull.

Then he's going to use 3/4 of each, so, we'd have to subtract 3/4 from each, and there'll be some left still in the paint bucket.

How many will he have left altogether?  well, we simply add the leftovers.

$\bf 1\frac{1}{3}\implies \cfrac{1\cdot 3+1}{3}\implies \cfrac{4}{3} \\\\\\ \cfrac{4}{3}-\stackrel{\downarrow }{\cfrac{3}{4}}\implies \cfrac{16-9}{12}\implies \boxed{\cfrac{7}{12}}\\\\ -------------------------------\\\\ 1\frac{1}{4}\implies \cfrac{1\cdot 4+1}{4}\implies \cfrac{5}{4} \\\\\\ \cfrac{5}{4}-\stackrel{\downarrow }{\cfrac{3}{4}}\implies \cfrac{5-3}{4}\implies \cfrac{2}{4}\implies \boxed{\cfrac{1}{2}}\\\\ -------------------------------$

$\bf \cfrac{7}{8}-\stackrel{\downarrow }{\cfrac{3}{4}}\implies \cfrac{7-6 }{8}\implies \boxed{\cfrac{1}{8}}\\\\ -------------------------------\\\\ \textit{so the leftovers are }\cfrac{7}{12}+\cfrac{1}{2}+\cfrac{1}{8}\implies \cfrac{14+12+3}{24}\implies \cfrac{29}{24}\implies 1\frac{5}{24}$