Answer:
Step-by-step explanation:
3.45(x)+3.30(x+360)=15700.50
Solve for x:
3.45x+3.30x+1188=15700.50
=6.75x=14512.5
=x=2150.
Part a:
regular: 2510 gallons
premium: 2150 gallons
Part b:
regular: 2510*.15=376.5
premium: 2150*.18=387
Answer:
a). Regular gasoline sold = 2510 gallons
Premium gasoline sold = 2150 gallons
b). Total profit = $763.50
Step-by-step explanation:
Let the amount of regular gasoline sold = x gallons
and the amount of premium gasoline sold = y gallons
Rate of regular gasoline = $3.30 per gallon
Rate of premium gasoline = $3.45 per gallon
"The station sold 360 more gallons of regular than premium gasoline."
Equation will be, x = y + 360 --------(1)
"Pitt's Pit shop sold $15700.50 worth of gasoline."
Equation for the statement will be,
3.30x + 3.45y = 15700.50 ----------(2)
Now we substitute the value of x from equation (1) to equation (2)
3.30(y + 360) + 3.45y = 15700.50
3.30y + 1188 + 3.45y = 15700.50
6.75y = 15700.50 - 1188
6.75y = 14512.50
y = [tex]\frac{14512.5}{6.75}[/tex]
y = 2150 gallons
By substituting the value of y in equation (1)
x = 2150 + 360
x = 2510 gallons
Regular gasoline sold = 2510 gallons
Premium gasoline sold = 2150 gallons
b). Since the profit on regular gas = $0.15 per gallon
and profit on the premium gas = $0.18 per gallon
Therefore, total profit of the station = 2510×0.15 + 2150(0.18)
= $376.50 + $387
= $763.5
