Mr. Pyle used [tex]195[/tex] gallons of $[tex]1.95[/tex] per gallon unleaded gas with [tex]65[/tex] gallons of $[tex]2.15[/tex] per gallon premium gas to create a $[tex]2.00[/tex] gas blend called Budget Premium.
Price of unleaded gas [tex]=[/tex] $ [tex]1.95[/tex]
Price of premium gas [tex]=[/tex] $ [tex]2.15[/tex]
Volume of premium gas [tex]= 65[/tex] gallons.
Volume of unleaded gas [tex]= x[/tex] gallons.
[tex]\frac{1.95x+2.15\times 65}{65+x} = 2.00[/tex]
[tex]1.95x+139.75=130+2x[/tex]
[tex]139.75-130=2x-1.95x[/tex]
[tex]9.75=0.05x[/tex]
[tex]x=195[/tex]
So, [tex]195[/tex] gallons of unleaded gas is used by Mr. Pyle.
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