document.write( "Question 793912: suppose that one cocktail is 25% ethanol and another cocktail is 110% ethanol. How many milliliters of each solution should be mixed to make 10.5 milliliters of an 80% ethanol solution?\r
\n" ); document.write( "\n" ); document.write( "x + y = 10.5
\n" ); document.write( "-x -x\r
\n" ); document.write( "\n" ); document.write( "y = 10.5 - x\r
\n" ); document.write( "\n" ); document.write( ".25x + 1.10y = 10.5(0.8)\r
\n" ); document.write( "\n" ); document.write( ".25x + 1.10(10.5 - x) = 10.5(0.8)\r
\n" ); document.write( "\n" ); document.write( ".25x + 11.55 - 1.10x = 8.4
\n" ); document.write( "-.25x .25x\r
\n" ); document.write( "\n" ); document.write( "11.55 - 1.35x = 8.4
\n" ); document.write( "-11.55 -11.55\r
\n" ); document.write( "\n" ); document.write( "-1.35x = -3.15
\n" ); document.write( "/-1.35 /-1.35\r
\n" ); document.write( "\n" ); document.write( "x = 2.33Reapeating.\r
\n" ); document.write( "\n" ); document.write( "Am I correct on my work? My answer seems wrong to me. If I move my answer into percentage form....it will be 233%?\r
\n" ); document.write( "\n" ); document.write( "Please help!!!\r
\n" ); document.write( "\n" ); document.write( "Thank you for your time, greatly appreciated!!!!
\n" ); document.write( "

Algebra.Com's Answer #480563 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
suppose that one cocktail is 25% ethanol and another cocktail is 110% ethanol.
\n" ); document.write( " How many milliliters of each solution should be mixed to make 10.5 milliliters of an 80% ethanol solution?
\n" ); document.write( ":
\n" ); document.write( "I think you are on the right track here, but you can't have 110% ethanol, 100%
\n" ); document.write( "is all ethenol, lets say it is 100%
\n" ); document.write( ":
\n" ); document.write( ".25x + 1(10.5-x) = .80(10.5)
\n" ); document.write( ".25x - 1x + 10.5 = 8.4
\n" ); document.write( "-.75x = 8.4 - 10.5
\n" ); document.write( "-.75x = -2.1
\n" ); document.write( "x = -2.1/-.75
\n" ); document.write( "x = +2.8 milliliters of the 25% ethanol
\n" ); document.write( "and
\n" ); document.write( "10.5 - 2.8 = 7.7 milliliters of 100% ethanol
\n" ); document.write( ";
\n" ); document.write( ";
\n" ); document.write( "You can confirm this
\n" ); document.write( ".25(2.8) + 1(7.7) = .8(10.5)
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