Final answer:
On that particular day, approximately 37 gallons of premium gas and approximately 74 gallons of regular gas were sold.
Step-by-step explanation:
Let's assume the number of gallons of premium gas sold is x. Therefore, the number of gallons of regular gas sold would be 2x.
The total cost of the premium gas sold at $3.30 per gallon would be 3.30x.
The total cost of the regular gas sold at $2.90 per gallon would be 2.90(2x) = 5.80x.
The total cost of the performance plus gas sold at $3.10 per gallon can be calculated by subtracting the total cost of the premium and regular gas sold from the total cost of all gas sold:
(Total Cost of Performance Plus Gas) = (Total Cost of All Gas) - (Total Cost of Premium Gas) - (Total Cost of Regular Gas)
3.10(4800) = 14580 - 3.30x - 5.80x
14880 = 14580 - 8.10x
300 = -8.10x
-37.04 ≈ x
Since the number of gallons sold should be positive, we disregard the negative value:
The number of gallons of premium gas sold is approximately 37.
The number of gallons of regular gas sold is twice that of the premium gas:
Therefore, the number of gallons of regular gas sold is approximately 2 * 37 = 74.
So, on that particular day, approximately 37 gallons of premium gas and approximately 74 gallons of regular gas were sold.