Answer:
The three 2-gallon cans of paint is enough to complete the job.
Step-by-step explanation:
Given:
It takes 2 1/8 gallons of paint to coat each door and 1 3/5 to coat all of shutters. He had three 2-gallon cans of paint.
Now, to find that is he have enough paint to complete the job.
Total gallons of paint he buys = 3 × 2 = 6 gallons.
Then, let the quantity used change to improper fraction from mixed:
[tex]2\frac{1}{8} =\frac{17}{8}[/tex] and [tex]1\frac{3}{5}=\frac{8}{5}[/tex].
Now, we add the quantity of paints used to paint doors and shutters:
[tex]\frac{17}{8}+\frac{8}{5}[/tex]
[tex]=\frac{85+64}{40}[/tex]
[tex]=\frac{149}{40}[/tex]
Now, subtracting quantity used from the total quantity:
[tex]6-\frac{149}{40}[/tex]
[tex]=\frac{240-149}{40}[/tex]
[tex]=\frac{91}{40}[/tex]
[tex]=2\frac{11}{40}[/tex]
So, after painting the two doors and several shutters from 3 cans of 2-gallon paint still 2 11/40 quantity of paint is remaining.
Therefore, the three 2-gallon cans of paint is enough to complete the job.
