document.write( "Question 319038: A chemist has 10% and 16% acid solutions. How many liters of each solution are needed to produce 30 liters of a 14% acid solution? \n" ); document.write( "
Algebra.Com's Answer #228380 by Fombitz(32388)\"\" \"About 
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Let A be the volume of 10% solution.
\n" ); document.write( "Let B be the volume of 16% solution.
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\n" ); document.write( "The chemist has to produce 30 liters.
\n" ); document.write( "1.\"A%2BB=30\"
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\n" ); document.write( "The concentration of the 30 liters must be 14%.
\n" ); document.write( "\"10A%2B16B=14%2830%29\"
\n" ); document.write( "\"10A%2B16B=420\"
\n" ); document.write( "2.\"5A%2B8B=210\"
\n" ); document.write( "From eq. 1,
\n" ); document.write( "\"A=30-B\"
\n" ); document.write( "Substitute into eq. 2 and solve for B,
\n" ); document.write( "\"5%2830-B%29%2B8B=210\"
\n" ); document.write( "\"150-5B%2B8B=210\"
\n" ); document.write( "\"150%2B3B=210\"
\n" ); document.write( "\"3B=60\"
\n" ); document.write( "\"highlight%28+B=20%29\"
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\n" ); document.write( "Now go back to the previous equation,
\n" ); document.write( "\"A=30-B\"
\n" ); document.write( "\"A=30-20\"
\n" ); document.write( "\"highlight%28A=10%29\"
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\n" ); document.write( "Use 10 liters of 10% solution and 20 liters of 16% solution to get 30 liters of 14% solution.
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