document.write( "Question 1083671: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
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document.write( "55%
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document.write( " salt and Solution B is
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document.write( "80%
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document.write( " salt. She wants to obtain
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document.write( "160
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document.write( " ounces of a mixture that is
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document.write( "60%
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document.write( " salt. How many ounces of each solution should she use?
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document.write( "
Algebra.Com's Answer #699202 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 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( "55% salt and Solution B is 80% salt. \n" ); document.write( "She wants to obtain 160 ounces of a mixture that is \n" ); document.write( "60% salt. How many ounces of each solution should she use? \n" ); document.write( "============== \n" ); document.write( "Ignoring the fact that 80% salt and 55% salt is not possible: \n" ); document.write( "--- \n" ); document.write( "e = amount of 80% \n" ); document.write( "f = amount of 55% \n" ); document.write( "--- \n" ); document.write( "e + f = 160 (total solution) \n" ); document.write( "80e + 55f = 60*160 (total salt) \n" ); document.write( "----- \n" ); document.write( "16e + 11f = 1920 \n" ); document.write( "f = 160 - e \n" ); document.write( "16e + 11*(160-e) = 1920 \n" ); document.write( "16e + 1760 - 11e = 1920 \n" ); document.write( "5e = 160 \n" ); document.write( "e = 32 ounces \n" ); document.write( "f = 128 ounces\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |