document.write( "Question 176304This question is from textbook california Algebra 1
\n" ); document.write( ": a lab technician has a solution of 50% acid and another that is 70% acid. He combines each solution to produce 20 liters of 55% acid solution. Write a system of equations that could be used to solve this problem. \n" ); document.write( "

Algebra.Com's Answer #131426 by Mathtut(3670) $\"\"$ $\"About$

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lets call the amount of 50% and 70% acid,f and s, respectively
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\n" ); document.write( "f+s=20............eq 1
\n" ); document.write( ".5f+.7s=.55(20)...eq 2
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\n" ); document.write( "rewrite eq 1 to f=20-s and plug that value into eq 2
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\n" ); document.write( ".5(20-s)+.7s=11
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\n" ); document.write( "10-.5s+.7s=11
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\n" ); document.write( ".2s=1
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28s=5%29\"$ liters of 70% solution
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28f=20-5=15%29\"$ liters of 50% solution \n" ); document.write( "

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