SOLUTION: Twelve gallons of regular unleaded gasoline plus 8 gallons of premium unleaded gasoline cost $50.86. Premium unleaded gasoline cost $0.11 more per gallon than regular unleaded. Fin

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Question 842412: Twelve gallons of regular unleaded gasoline plus 8 gallons of premium unleaded gasoline cost $50.86. Premium unleaded gasoline cost $0.11 more per gallon than regular unleaded. Find the price per gallon for each grade of gasoline.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform rates problem for price and cost.
highlight_green%28P%2Av=c%29
P is price in dollars per gallon;
v is volume in gallons
c is cost in dollars


_________________price____________volume__________cost
Reg. Unlead_______p_______________12____________(___)
Premium__________p+0.11____________8____________(___)
TOTAL____________________________________________50.86

Use the basic equation formula to express the cost of each type of gasoline and then make the equation for the total cost.

_________________price____________volume__________cost
Reg. Unlead_______p_______________12____________p%2A12
Premium__________p+0.11____________8____________%28p%2B0.11%29%2A8
TOTAL____________________________________________50.86

The cost equation to solve for p is highlight%2812p%2B8%28p%2B0.11%29=50.86%29 and the arithmetic is for you to do.