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 gallons of paint 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

Yes, Kreider has enough paint.

Explanation:

We have been given Mr. Kreider wants to paint two doors and several shutters.

First of all, we will find the amount needed to paint 2 doors and several shutters as:

`2(1)/(8)+2(1)/(8)+1(3)/(5)`

Convert mixed fraction into improper fraction:

`2(1)/(8)\Rightarrow (2* 8+1)/(8)=(16+1)/(8)=(17)/(8)`

`1(3)/(5)\Rightarrow (1* 5+3)/(5)=(5+3)/(5)=(8)/(5)`

`2(1)/(8)+2(1)/(8)+1(3)/(5)\Rightarrow(17)/(8)+(17)/(8)+(8)/(5)`

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

`(34)/(8)+(8)/(5)`

Make a common denominator:

`(34*5)/(8*5)+(8*8)/(5*8)`

`(170)/(40)+(64)/(40)`

Combine numerators:

`(170+64)/(40)`

`(234)/(40)`

`5(34)/(40)`

`5(17)/(20)`

`5.85`

Amount of paint Mr. Kreider has:
`3* 2\text{ gallons}=6\text{ gallons}`

Since amount needed for two doors and several shutters is 5.85 gallons and Mr. Kreider has 6 gallons of paint, therefore, Kreider has enough paint.