document.write( "Question 969304: Suppose that one solution contains 40% alcohol and another solution contains 80% alcohol. How many liters of each solution should be mixed to make 9.5 liters of a 70% alcohol solution? \n" ); document.write( "

Algebra.Com's Answer #592217 by Boreal(15235) $\"\"$ $\"About$

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Let x= number of liters of 40% or .40 alcohol solution.
\n" ); document.write( "Let 9.5 -x = number of liters of 80% or .80 alcohol solution.\r
\n" ); document.write( "\n" ); document.write( "This is for me a lot easier than x and y. I have one variable, and x +9.5-x=9.5\r
\n" ); document.write( "\n" ); document.write( "Now set it up:\r
\n" ); document.write( "\n" ); document.write( "x(.4) + (9.5-x)(.8)=9.5(.7)\r
\n" ); document.write( "\n" ); document.write( "I am using decimals for alcohol percentage.\r
\n" ); document.write( "\n" ); document.write( ".4x +7.6-.8x =6.65 0.8 *(9.5-x) = 0.8 *9.5 - 0.8*x\r
\n" ); document.write( "\n" ); document.write( "-.4x =6.65-7.6= -0.95 notice that both sides of the equation are negative. I make both sides positive.\r
\n" ); document.write( "\n" ); document.write( "x=0.95/.4 or 10.5/4 or 2.375 liters 9.5-x= 7.125 liters
\n" ); document.write( "Check with alcohol
\n" ); document.write( "2.375 liters *.4 alcohol/liter =0.95 alcohol
\n" ); document.write( "7.125 liters *.8 alcohol/liter=5.7 alcohol\r
\n" ); document.write( "\n" ); document.write( "Total is 6.65 alcohol\r
\n" ); document.write( "\n" ); document.write( "Total requested was 9.5 liters *.7 alcohol/liter = 6.65 alcohol\r
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