document.write( "Question 816029: A gas station sells regular gas for $2.05 per gallon and premium gas for $2.75 a gallon. At the end of a business day 280 gallons of gas were sold, and receipts totaled $637. How many gallons of each type of gas were sold? \n" ); document.write( "

Algebra.Com's Answer #491312 by mananth(16946) $\"\"$ $\"About$

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x= Number of gallons regular
\n" ); document.write( "y= Number of gallons premium
\n" ); document.write( "
\n" ); document.write( "1.00 x + 1.00 y = 280.00 .............1
\n" ); document.write( "Total value
\n" ); document.write( "2.05 x + 2.75 y = 637.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -2.75
\n" ); document.write( "Multiply (2) by 1.00
\n" ); document.write( "-2.75 x -2.75 y = -770.00
\n" ); document.write( "2.05 x + 2.75 y = 637.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "-0.70 x = -133.00
\n" ); document.write( "/ -0.70
\n" ); document.write( "x = 190.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + 1.00 y = 280.00
\n" ); document.write( "190.00 + y = 280.00
\n" ); document.write( " y = 280.00 -190.00
\n" ); document.write( " y = 90.00
\n" ); document.write( " x= 190.00 Number of gallons regular
\n" ); document.write( "y= 90.00 Number of gallons premium
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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