document.write( "Question 519758: A hospital staff mixed a 75% disinfectant solution with a 25% disinfectant solution. How many liters of each were used to make 10 L of a 40% disinfectant solution?
\n" ); document.write( "75% solution ? L
\n" ); document.write( "25% solution ?
\n" ); document.write( "

Algebra.Com's Answer #345775 by josmiceli(19441)\"\" \"About 
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Let \"a\" = liters of 75% solution needed
\n" ); document.write( "Let \"b\" = liters of 25% solution needed
\n" ); document.write( "given:
\n" ); document.write( "\"+.75a+\" = liters of disinfectant in 75% solution
\n" ); document.write( "\"+.25b+\" = liters of disinfectant in 25% solution
\n" ); document.write( "---------------
\n" ); document.write( "(1) \"+a+%2B+b+=+10+\"
\n" ); document.write( "(2) \"+%28+.75a+%2B+.25b+%29+%2F+10+=+.4+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) \"+.75a+%2B+.25b+=+4+\"
\n" ); document.write( "(2) \"+75a+%2B+25b+=+400+\"
\n" ); document.write( "(2) \"+3a+%2B+b+=+16+\"
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+3a+%2B+b+=+16+\"
\n" ); document.write( "(1) \"+-a+-+b+=+-10+\"
\n" ); document.write( "\"+2a+=+6+\"
\n" ); document.write( "\"+a+=+3+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+10+\"
\n" ); document.write( "(1) \"+b+=+10+-+3+\"
\n" ); document.write( "(1) \"+b+=+7+\"
\n" ); document.write( "3 liters of 75% solution are needed
\n" ); document.write( "7 liters of 25% solution are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.75a+%2B+.25b+%29+%2F+10+=+.4+\"
\n" ); document.write( "(2) \"+%28+.75%2A3+%2B+.25%2A7+%29+%2F+10+=+.4+\"
\n" ); document.write( "(2) \"+%28+2.25+%2B+1.75+%29+%2F+10+=+.4+\"
\n" ); document.write( "(2) \"+4+=+.4%2A10+\"
\n" ); document.write( "(2) \"+4+=+4+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
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