document.write( "Question 911579: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
\n" ); document.write( "40%
\n" ); document.write( "salt and Solution B is
\n" ); document.write( "65%
\n" ); document.write( " salt. She wants to obtain
\n" ); document.write( "100
\n" ); document.write( " ounces of a mixture that is
\n" ); document.write( "50%
\n" ); document.write( " salt. How many ounces of each solution should she use?
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Algebra.Com's Answer #553208 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = ounces of A needed
\n" ); document.write( "Let \"+b+\" = ounces of B needed
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\n" ); document.write( "\"+.4a+\" = ounces of salt in A
\n" ); document.write( "\"+.65b+\" = ounces of salt in B
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+100+\"
\n" ); document.write( "(2) \"+%28+.4a+%2B+.65b+%29+%2F+100+=+.5+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) \"+.4a+%2B+.65b+=+50+\"
\n" ); document.write( "Multiply both sides by \"+100+\"
\n" ); document.write( "(2) \"+40a+%2B+65b+=+5000+\"
\n" ); document.write( "Multiply both sides of (1) by \"+40+\"
\n" ); document.write( "and subtract (1) from (2)
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\n" ); document.write( "(2) \"+40a+%2B+65b+=+5000+\"
\n" ); document.write( "(1) \"+-40a+-+40b+=+-4000+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "\"+25b+=+1000+\"
\n" ); document.write( "\"+b+=+40+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+100+\"
\n" ); document.write( "(1) \"+a+=+60+\"
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\n" ); document.write( "60 ounces of A is needed
\n" ); document.write( "40 ounces of B is needed
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.4a+%2B+.65b+%29+%2F+100+=+.5+\"
\n" ); document.write( "(2) \"+%28+.4%2A60+%2B+.65%2A40+%29+%2F+100+=+.5+\"
\n" ); document.write( "(2) \"+%28+24+%2B+26+%29+%2F+100+=+.5+\"
\n" ); document.write( "(2) \"+50+=+.5%2A100+\"
\n" ); document.write( "(2) \"+50+=+50+\"
\n" ); document.write( "'OK
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