The cost of 14 gallons of regular gasoline and 10 gallons of premium gasoline is $46.68. Priemum gasoline costs $0.30 more per gallon than regular. What is the cost per gallon of each type of gasoline?

Question

anonymous · Answer

from the information given we can come up with 2 equations. One that relates to the total cost and one the relates the cost of regular to premium

anonymous · Answer

Let r stand for regular price and p stand for premium

14r + 10p = 46.68 (total cost equation)
p = r + .30

anonymous · Answer

can you solve now? you will have to use the substitution method. The second equation is already = to p so replace the p's in the first equation with r = .30  Now you have one variable and can solve for r. Once you have r you can get p using the second equation