Question

Outside of his barn than for the inside. If he uses 107 quarts in all,

2. Jay needs 19 quarts more paint for the outside of his barn than for the inside

how many gallons of paint will be used to paint the inside of the barn?

What is the answer?

Answer 1

11 gallons of paint Jay needed for the inside .

Explanation:

Consider the provided information.

Let x is the quart of paint Jay needed for the outside.

Let y is the quart of paint Jay needed for the inside .

Jay needs 19 quarts more paint for the outside of his barn than for the inside.

`x=y+19`

He uses 107 quarts in all,

`x+y=107`

Substitute the value of x in above equation.

`y+19+y=107`

`2y=107-19`

`2y=88`

`y=44`

Hence, 44 quarts of paint Jay needed for the inside .

But we need to find how many gallons of paint will be used to paint the inside of the barn.

So convert 44 quarts into gallon.

1 quarts = 0.25 gallon

1×44 quarts = 0.25×44 gallon

44 quarts = 11 gallon

Hence, 11 gallons of paint Jay needed for the inside .