SOLUTION: A gas station sells regular gas for $2.25 per gallon and premium gas for $2.85 a gallon. At the end of a business day 340 gallons of gas were sold, and receipts totaled $819. How m

Algebra ->  Equations -> SOLUTION: A gas station sells regular gas for $2.25 per gallon and premium gas for $2.85 a gallon. At the end of a business day 340 gallons of gas were sold, and receipts totaled $819. How m      Log On


   

Question 762763: A gas station sells regular gas for $2.25 per gallon and premium gas for $2.85 a gallon. At the end of a business day 340 gallons of gas were sold, and receipts totaled $819. How many gallons of each type of gas were sold?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Regular gas = x
Premium gas = y
x + y = 340...1
2.25x + 2.85y = 819...2
Multiply (1) by 9
and (2) by 4
9x + 9y = 3060...3
9x + 11.4y = 3276...4
Subtract (3) from (4)
2.4y = 216
y = 90
Substitute y = 90 into (1)
x + y = 340
x + 90 = 340
x = 340 - 90
x = 250
Regular gas - 250 gallons
Premium gas - 90 gallons
Hope this helps.
:-)