Problema Solution
A gas station sells three types of gas: Regular for $2.85 a gallon, Performance Plus for $3.00 a gallon, and Premium for $3.15 a gallon. On a particular day 4800 gallons of gas were sold for a total of $14,175. Two 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 the Regular gas sold
y = gal of the Performance Plus gas sold
z = gal of the Premium gas sold
On a particular day 4800 gallons of gas were sold for a total of $14,175.
x + y + z = 4800
2.85x + 3y + 3.15z = 14,175
Two times as many gallons of Regular as Premium gas were sold.
x = 2z
by solving the system of equations:
x + y + z = 4800
2.85x + 3y + 3.15z = 14175
x = 2z
we find:
x = 3,000 gal
y = 300 gal
z = 1,500 gal
click here to see the step by step solution of the system of equations:
3,000 gal of Regular, 300 gal of Performance and 1,500 gal of Premium gas were sold.