Answer:
11 gallons of paint Jay needed for the inside .
Step-by-step 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.
[tex]x=y+19[/tex]
He uses 107 quarts in all,
[tex]x+y=107[/tex]
Substitute the value of x in above equation.
[tex]y+19+y=107[/tex]
[tex]2y=107-19[/tex]
[tex]2y=88[/tex]
[tex]y=44[/tex]
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 .
