Michelle decides to mix grades of gasoline in her truck. She puts in 9 gallons of regular and 11 gallons of premium for a total cost of $62.38. If premium gasoline costs $0.18 more per gallon than regular, what was the price of each grade of gasoline?

Hi there! :)

Regular = $3.02, Premium = $3.20

Let x = regular gasoline

x + 0.18 = premium gasoline

Write an algebraic equation to express the scenario:

9(x) + 11(x + 0.18) = 62.38

Distribute:

9x + 11x + 11(0.18) = 62.38

Combine like terms and simplify:

20x + 1.98 = 62.38

Subtract 1.98 from both sides:

20x = 60.4

Divide both sides by 20:

x = $3.02

Substitute this value in the equation for premium gasoline:

(3.02) = .18 = $3.20

The prices of each type of gasoline are:

Regular = $3.02, Premium = $3.20

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