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10 September, 19:51

Peter decides to mix grades of gasoline in his truck. He puts in 11 gallons of regular and 7 gallons of premium for a total cost of $76.99. If premium gasoline costs $0.25 more per gallon than regular, what was the price of each grade of gasoline?

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  1. 10 September, 20:02
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    11r + 7p = 76.99

    p = r + 0.25

    11r + 7 (r + 0.25) = 76.99

    11r + 7r + 1.75 = 76.99

    18r = 76.99 - 1.75

    18r = 75.24

    r = 75.24/18

    r = 4.18 < = = = regular : $ 4.18 per gallon

    p = r + 0.25

    p = 4.18 + 0.25

    p = 4.43 < = = = premium : $ 4.43 per gallon
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