Problema Solution
Daniel just filled the family cars at a gas station. The total cost for 19 gallons of regular unleaded and 20 gallons of premium unleaded was $152.98. The premium gas was 10 cents more per gallon than the regular gas. What is the price per gallon for each type of gas?
Answer provided by our tutors
let
r = the price of the regular unleaded per gallon
p = the price of the premium per gallon
the total cost for 19 gallons of regular unleaded and 20 gallons of premium unleaded was $152.98
19r + 20p = 152.98
the premium gas was 10 cents = $0.10 more per gallon than the regular gas
p = r + 0.10
by solving the system of equations
p = r + 0.10
19r + 20p = 152.98
we find
r = $3.87 per gal
p = $3.97 per gal
click here to see the step by step solution of the system of equations
the cost of regular is $3.87 per gal.
the cost of premium is $3.97 per gal