Question

11. (-/1 Points] DETAILS BRECMBC9 5.11.010.

MY NOTES
Set up and solve an equation for the following business situation.
Pitt's Pit Stop sold $16,003.50 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.
(a) How many gallons of each type of gasoline were sold?
regular
gal
premium
gal
(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

2190 ; 2560 ;

$778.2

Step-by-step explanation:

Total worth of gasoline sold = 16003.50

Cost of regular = 3.30

Cost of premium = 3.45

Let :

premium Gallon sold = x

Regular gallon sold = 370 + x

Hence, mathematically;

(3.45*x) + (3.30 * (x + 370)) = 16003.50

3.45x + 3.30x + 1221 = 16003.50

6.75x = 16003.50 - 1221

6.75x = 14782.5

x = 14782.5 / 6.75

x = 2190

Premium Gallon sold = 2190 gallons

Regular gallon sold = 2190 + 370 = 2560 gallons

Profit per regular gallon sold = $0.15

Progit per premium Gallon sold = $0.18

Total profit = (2190 * 0.18) + (2560 * 0.15) = $778.2