# Jay needs 19 quarts more paint for the outside of his barn then 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?

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## Question:

Jay needs 19 quarts more paint for the outside of his barn then 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?

The question presents the relationship between the amount of paint to be

used for the inside of the barn and the amount of paint needed for the

outside in the form of a word problem.

• The amount of paint used to paint the inside of the barn is 11 gallons

Reasons:

Given parameter are;

The amount of more paint Jay needs to paint the outside of his barn = 19

quarts.

The amount of paint he uses in all = 107 quarts

Let I represent the amount of paint Jay needs to paint the inside of his

barn, we have;

The amount of paint Jay needs to paint his outside of his barn = I + 19

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Therefore, we have;

The paint needed in all, 107 = Paint needed inside + Paint needed outside

Paint needed inside = I

Paint needed outside = I + 19

Therefore;

107 = I + I + 19 = 2·I + 19

107 – 19 = 2·I + 19 – 19

88 = 2·I

2·I = 88 by symmetric property of equality

The amount of paint that will be used to paint the inside of the barn, I = 44

quarts.

4 quarts = 1 gallon

44 quarts = 4 quarts × 11 = 1 gallon × 11 = 11 gallons

• The number of gallons of paint that will be used to paint the inside of the barn is 11 gallons of paint.