SOLUTION: The cost of 12 gallons of regular gasoline and 18 gallons of premium gasoline is $44.46. Premium costs $.22 more per gallon than regular. What is the cost per gallon of each type o

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The cost of 12 gallons of regular gasoline and 18 gallons of premium gasoline is $44.46. Premium costs $.22 more per gallon than regular. What is the cost per gallon of each type o      Log On


   

Question 199108: The cost of 12 gallons of regular gasoline and 18 gallons of premium gasoline is $44.46. Premium costs $.22 more per gallon than regular. What is the cost per gallon of each type of gasoline?
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
12x+18(x+.22)=44.46
12x+18x+3.96=44.46
30x=44.46-3.96
30x=40.50
x=40.50/30
x=1.35 is the price of regular gas per gallon.
1.35+.22=1.57 is the price of premium gas per gallon.
Proof:
12*1.35+18*1.57=44.46
16.20+28.26=44.47
44.46=44.46