SOLUTION: The total cost of 10 gallons of regular gasoline and 15 gallons of premium gasoline is $32.75. Premium costs $.20 more per gallon than regular. What is the cost of gallon of each

Question 271597: The total cost of 10 gallons of regular gasoline and 15 gallons of premium gasoline is $32.75. Premium costs $.20 more per gallon than regular. What is the cost of gallon of each type of gasoline?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The total cost of 10 gallons of regular gasoline and 15 gallons of premium gasoline is $32.75. Premium costs $.20 more per gallon than regular. What is the cost of gallon of each type of gasoline?
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Equations:
10r + 15p = 32.75
p = r + 0.20
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Substitute for "p" and solve for "r":
10r + 15(r+0.20) = 32.75
10r + 15r + 2 = 32.75
25r = 30.75
r = $1.23 (price of regular)
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p = r+0.20
p = $1.43
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Cheers,
Stan H.
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