Pitt's Pit Stop sold $15,733.50 worth of gasoline yesterday. Regular sold for $3.30 a gallon and premium sold for $3.45 a gallon. If the station sold 370 more gallons of regular than premium, answer the following questions.
How many gallons of each type of gasoline were sold?

Respuesta :

Answer:

2141.7 gallons of regular gasoline were sold

1771.7 gallons of premium gasoline were sold

Step-by-step explanation:

in this question you need to make two equations one for total price and the other for total gallons. assume R is for gallons of regular gasoline and P is for gallons of premium gasoline sold.

[tex]3.3R +3.45P=15733.5[/tex]

[tex]P = R-370[/tex]

then substitute one of them at the other:

[tex]3.3R +3.45(R-370)=15733.5[/tex]

by solving the equation R = 2520

substitute R in equation P = R-370:

P = 2520-370 = 2150