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

Answer:

Yes, Kreider has enough paint.

Step-by-step 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:

$2\frac{1}{8}+2\frac{1}{8}+1\frac{3}{5}$

Convert mixed fraction into improper fraction:

$2\frac{1}{8}\Rightarrow \frac{2\times 8+1}{8}=\frac{16+1}{8}=\frac{17}{8}$

$1\frac{3}{5}\Rightarrow \frac{1\times 5+3}{5}=\frac{5+3}{5}=\frac{8}{5}$

$2\frac{1}{8}+2\frac{1}{8}+1\frac{3}{5}\Rightarrow\frac{17}{8}+\frac{17}{8}+\frac{8}{5}$

$\frac{17+17}{8}+\frac{8}{5}$

$\frac{34}{8}+\frac{8}{5}$

Make a common denominator:

$\frac{34*5}{8*5}+\frac{8*8}{5*8}$

$\frac{170}{40}+\frac{64}{40}$

Combine numerators:

$\frac{170+64}{40}$

$\frac{234}{40}$

$5\frac{34}{40}$

$5\frac{17}{20}$

$5.85$

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

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.