A shade of paint is made by evenly mixing m gallons of white paint, costing $12 a gallon, with n gallons of blue paint, costing $30. What is the cost, in dollars per gallon, of the resulting mixture?

The cost of mixture is

Step-by-step explanation:

We are given the following in the question:

Cost of white per gallon = $12 a gallon

Amount of white paint in the mixture = m gallons

Total cost of white paint =

Cost of blue per gallon = $30 a gallon

Amount of blue paint in the mixture = n gallons

Total cost of blue paint =

Total cost of mixture =

Total cost of white paint  + Total cost of blue paint

Total amount of mixture =

Amount of white paint in the mixture + Amount of blue paint in the mixture

Cost of mixture per gallon =

is the required cost of mixture.

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