document.write( "Question 562904: A chemist needs to make 30 ounces of a 25% alcohol solution by mixing together a 15% alcohol solution with a 40% alcohol solution. How much of each should they use? \n" ); document.write( "

Algebra.Com's Answer #364726 by Maths68(1474) $\"\"$ $\"About$

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Solution A
\n" ); document.write( "Amount = x
\n" ); document.write( "Concentration =15% = 0.15\r
\n" ); document.write( "\n" ); document.write( "Solution B
\n" ); document.write( "Amount = 30-x
\n" ); document.write( "Concentration =40% = 0.40\r
\n" ); document.write( "\n" ); document.write( "Resultant Solution
\n" ); document.write( "Amount = 30 ounce
\n" ); document.write( "Concentration =25% = 0.25\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "[Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B]+ [Amount Solution B * Concentration of B] = Amount of Resultant * Concentration of resultant\r
\n" ); document.write( "\n" ); document.write( "x(0.15)+(30-x)(0.40)=(30)(0.25)
\n" ); document.write( "0.15x+12-0.4x=7.5
\n" ); document.write( "-0.25x=7.5-12
\n" ); document.write( "-0.25x=-4.5
\n" ); document.write( "-0.25x/-0.25=-4.5/-0.25
\n" ); document.write( "x=18\r
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\n" ); document.write( "\n" ); document.write( "Solution A
\n" ); document.write( "Amount = x = 18
\n" ); document.write( "Concentration =15% = 0.15\r
\n" ); document.write( "\n" ); document.write( "Solution B
\n" ); document.write( "Amount = 30-x = 30-18 = 12
\n" ); document.write( "Concentration =40% = 0.40\r
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\n" ); document.write( "\n" ); document.write( "18 ounces of 15% alcohol solution with a 12 ounces of 40% alcohol solution will be mixed to get 30 ounces of a 25% alcohol solution.
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