SOLUTION: the cost of 9 gallons of regular gasoline 16 gallons of premium gasoline is $58.55. Premium costs $.30 more per gallon than regular. what is the cost of a gallon of premium gasolin

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Question 388517: the cost of 9 gallons of regular gasoline 16 gallons of premium gasoline is $58.55. Premium costs $.30 more per gallon than regular. what is the cost of a gallon of premium gasoline?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

Let x and (x+.30)represent the cost of regular and premium gas respectively

Question States:

  9x + 16(x+ $0.30) = $58.55

            25x = $58.55 - 16*$0.30

            25x = $53.75

              x = $53.75/25

              x = $2.15, cost of regular, premium costs $2.45  ($2.15 + $0.30)



CHECKING our Answer

  9*$2.15 + 16*$2.45 = $19.35 + $39.20 = $58.55