Question

Pitt's Pit Stop sold $15,700.50 worth of gasoline yesterday. Regular sold for $3.30 a gallon and premium sold for $3.45 a gallon. If the station sold 360 more gallons of regular than premium, answer the following questions.
(a)How many gallons of each type of gasoline were sold?
regular :
premium :

(b)If the profit on regular gas is $0.15 per gallon and on premium is $0.18 per gallon, what was the station's total profit (in dollars)?

Answer 1

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 2

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 = $\frac{14512.5}{6.75}$

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