Problema Solution
A gas station sells 3 types of gas: Regular for $2.85 a gallon, Performance Plus for $2.95 a gallon, and Premium for $3.05 a gallon. On a particular day 6500 gallons of gas were sold for a total of $18,875. Three times as many gallons of Regular as Premium gas were sold. How many gallons of each type of gas were sold that day?
Answer provided by our tutors
let
x = gal of Regular gas
y = gal of Performance Plus gas
z = gal of Premium gas
on a particular day 6500 gallons of gas were sold for a total of $18,875:
x + y + z = 6500
2.85x + 2.95y + 3.05z = 18875
3 times as many gallons of Regular as Premium gas were sold:
3x = z
by solving the system of equations:
x + y + z = 6500
2.85x + 2.95y + 3.05z = 18875
x = 3z
we find:
x = 4,500 gal
y = 500 gal
z = 1,500 gal
click here to see the step by step solution of the system of equations:
there were 4,500 gal of Regular, 500 gal of Performance Plus and 1,500 gal of Premium gas sold.