document.write( "Question 512341: how many liters of a35% solution of alcohol should be mixed with 30 liters of 55% solution to make up a 47% solution \n" ); document.write( "

Algebra.Com's Answer #342606 by Maths68(1474) $\"\"$ $\"About$

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Soluton A
\n" ); document.write( "Amount = x
\n" ); document.write( "Concentration = 35%=0.35
\n" ); document.write( "================================================================================\r
\n" ); document.write( "\n" ); document.write( "Solution B
\n" ); document.write( "Amount = 30 liters
\n" ); document.write( "Concentration = 55%=0.55
\n" ); document.write( "================================================================================\r
\n" ); document.write( "\n" ); document.write( "Resultant Solution
\n" ); document.write( "Amount=30+x
\n" ); document.write( "Concentration=47%=0.47
\n" ); document.write( "================================================================================\r
\n" ); document.write( "\n" ); document.write( "(Amount of A * Concentration of A)+(Amount of B * Concentration of B) = (Amount of Resultant * Concentration of Resultant)\r
\n" ); document.write( "\n" ); document.write( "(x*.35)+(30*0.55)=(30+x)*0.47
\n" ); document.write( "0.35x-0.47x=14.1-16.5
\n" ); document.write( "-0.12x=-2.4
\n" ); document.write( "-0.12x/-0.12=-2.4/-0.12
\n" ); document.write( "x=20\r
\n" ); document.write( "\n" ); document.write( "================================================================================\r
\n" ); document.write( "\n" ); document.write( "20 liters of 35% solution of alcohol should be mixed with 30 liters of 55% solution to make up a 50 liters of 47% solution
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