Question

Emma decides to mix grades of gasoline in her truck. She puts in 6 gallons of regular and 14 gallons of premium for a total cost of $71.96 If premium gasoline costs $0.24 more per gallon than regular, what was the price of each grade of gasoline?

Answer 1

The price of regular gasoline is $3.43 per gallon, while the price of premium gasoline is $3.67 per gallon.

Step-by-step explanation:

Let's denote the price of regular gasoline as x dollars per gallon. Since the premium gasoline costs $0.24 more per gallon, the price of premium gasoline can be denoted as x + 0.24 dollars per gallon.

Emma puts in 6 gallons of regular and 14 gallons of premium gasoline, with a total cost of $71.96. We can set up the equation:

• 6x + 14(x + 0.24) = 71.96

Simplifying the equation, we get:

• 6x + 14x + 3.36 = 71.96
• 20x + 3.36 = 71.96
• 20x = 68.6
• x = 3.43

Therefore, the price of regular gasoline is $3.43 per gallon, and the price of premium gasoline is $3.43 + 0.24 = $3.67 per gallon.

Answer 2

The answer would be $91.96