Question

jay needs 19 quarts more paint for the outside of his barn than for the inside. If he uses 107 quarts in all, how many gallons of paint will be used to paint the inside of the barn

Answer 1

Answer:  There are 11 gallons which will be used by him to paint the inside of his barn.

Step-by-step explanation:

Since we have given that

Total number of quarts he needed in all =107

Let the number of quarts he needed for the inside of his barn be x

Let the number of quarts he needed for the outside of his barn be x+19

According to question,

$x+x+19=107\\\\2x+19=107\\\\2x=107-19\\\\2x=88\\\\x=\frac{88}{2}\\\\x=44$

As we know that

$1\text{ gallon}=4\text{ quarts}\\\\so\\\\1\text{ quarts}=\frac{1}{4}\text{ galllon}\\\\44\text{ quarts}=\frac{44}{4}\text{ gallons}=11\text{ gallons}$

So, there are 11 gallons which will be used by him to paint the inside of his barn.