Question

Write and solve an equation to answer the question.
5. Mr. Hewitt estimates the cost toward a fresh paint job for the exterior of
his home. He will use 12 gallons of paint priced at $x per gallon. The cost
of paint supplies and miscellaneous expenses are $2,264. The total
estimated cost for the paint job is $2,624. What is the cost of each gallon
of paint?​

Answer 1

12x+2,264=2,624
Each paint gallon costs $30

Answer 2

The cost of each gallon of paint is $30.

It is given that,

• Mr. Hewitt uses 12 gallons of paint priced at $$x$ per gallon.
• The cost of paint supplies miscellaneous expenses are $2,264.
• Total cost is $2,624.

Explanation:

Total cost is the sum of variable cost and cost of paint supplies and miscellaneous expenses.

The equation for total cost is:

$12x+2264=2624$

$12x=2624-2264$

$x=\dfrac{360}{12}$

$x=30$

Thus, the cost of each gallon of paint is $30.

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