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)   (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
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