Problema Solution
E-Z Stop Fast Gas sold $10,957 worth of gasoline yesterday. Regular sold for $2.30 a gallon, and premium sold for $2.55 a gallon. If the station sold 420 more gallons of regular than of premium:
a. How many gallons of each type of gasoline were sold?
Do not enter units in your answer.
Premium: gallons
Regular: gallons
b. If the profit on regular gas is $0.18 per gallon and on premium is $0.20 per gallon, what was the station's total profit?
Answer provided by our tutors
Let
x = gallons regular sold for $2.30 a gallon
y = gallons premium sold for $2.55 a gallon
x*2.30 + y*2.55 = 10957
x = y + 420
a. By solving the system of equations we find the solutions
Premium: 2060 gallons
Regular: 2480 gallons
b. total profit = regular gas profit + premium gas profit
0.18*x + 0.20*y = 0.18*2480 + 0.20*2060 = $858.4 total profit