document.write( "Question 1066435: Please help with mixture problem. I can't figure out how to get the equation. Thanks! \r
\n" ); document.write( "\n" ); document.write( "A chemist needs 70mL of a 32% solution, but has only 26% and 47% solutions available. Find how many mL of each that should be mixed to get the desired solution.
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Algebra.Com's Answer #681583 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = ml of 26% solution needed
\n" ); document.write( "Let \"+b+\" = ml of 47% solution needed
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\n" ); document.write( "(1) \"+a+%2B+b+=+70+\"
\n" ); document.write( "(2) \"+%28+.26a+%2B+.47b+%29+%2F+70+=+.32+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "(2) \"+.26a+%2B+.47b+=+.32%2A70+\"
\n" ); document.write( "(2) \"+.26a+%2B+.47b+=+22.4+\"
\n" ); document.write( "(2) \"+26a+%2B+47b+=+2240+\"
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\n" ); document.write( "Multiply both sides of (1) by \"+26+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+26a+%2B+47b+=+2240+\"
\n" ); document.write( "(1) \"+-26a+-+26b+=+-1820+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "\"+21b+=+420+\"
\n" ); document.write( "\"+b+=+20+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+20+=+70+\"
\n" ); document.write( "(1) \"+a+=+50+\"
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\n" ); document.write( "50 ml of 26% solution are needed
\n" ); document.write( "20 ml of 47% solution are needed
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.26a+%2B+.47b+%29+%2F+70+=+.32+\"
\n" ); document.write( "(2) \"+%28+.26%2A50+%2B+.47%2A20+%29+%2F+70+=+.32+\"
\n" ); document.write( "You can finish this check\r
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