document.write( "Question 1077533: If 1,600 liters of 10% dextrose solution is made by combining a 20% dextrose solution with a 4% dextrose solution, how much of each solution must be used \n" ); document.write( "
Algebra.Com's Answer #692012 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = liters of 20% solution needed
\n" ); document.write( "Let \"+b+\" = liters of 4% solution needed
\n" ); document.write( "----------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+1600+\"
\n" ); document.write( "(2) \"+%28+.2a+%2B+.04b+%29+%2F+1600+=+.1+\"
\n" ); document.write( "---------------------------------
\n" ); document.write( "(2) \"+.2a+%2B+.04b+=+160+\"
\n" ); document.write( "(2) \"+20a+%2B+4b+=+16000+\"
\n" ); document.write( "(2) \"+5a+%2B+b+=+4000+\"
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+5a+%2B+b+=+4000+\"
\n" ); document.write( "(1) \"+-a+-+b+=+-1600+\"
\n" ); document.write( "------------------------
\n" ); document.write( "\"+4a+=+2400+%7B%7B%7B%0D%0A%7B%7B%7B+a+=+600+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+1600+\"
\n" ); document.write( "(1) \"+600+%2B+b+=+1600+\"
\n" ); document.write( "(1) \"+b+=+1000+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "600 liters of 20% solution are needed
\n" ); document.write( "1000 liters of 4% solution are needed
\n" ); document.write( "------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.2a+%2B+.04b+%29+%2F+1600+=+.1+\"
\n" ); document.write( "(2) \"+%28+.2%2A600+%2B+.04%2A1000+%29+%2F+1600+=+.1+\"
\n" ); document.write( "(2) \"+%28+120+%2B+40+%29+%2F+1600+=+.1+\"
\n" ); document.write( "(2) \"+160+%2F+1600+=+.1+\"
\n" ); document.write( "(2) \"+160+=+160+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );