Answer:
44 quarts to paint the inside
Explanation:
He needs x quarts for the inside painting and x + 19 quarts for the outside.
These two measures add up to 2x + 19, which equals 107 (quarts) total.
Then 2x = 88 quarts, and:
x = 44 quarts. This is the number of quarts needed to paint the inside; the outside requires 19 quarts more, or 63 quarts.
Note that 44 and 63 add up to 107 (quarts), as they must.