Question

Mr. Kreider wants to paint two doors and several shutters. It takes 2 1/8 gallons of paint to coat each door and 1 3/5 to coat all of his shutters. If Mr. Kreider buys three 2-gallon cans of paint, does he have enough to complete the job.

Answer 1

The three 2-gallon cans of paint is enough to complete the job.

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:

`2(1)/(8) =(17)/(8)` and
`1(3)/(5)=(8)/(5)`.

Now, we add the quantity of paints used to paint doors and shutters:

`(17)/(8)+(8)/(5)`

`=(85+64)/(40)`

`=(149)/(40)`

Now, subtracting quantity used from the total quantity:

`6-(149)/(40)`

`=(240-149)/(40)`

`=(91)/(40)`

`=2(11)/(40)`

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.