document.write( "Question 519297: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40% salt and Solution B is 90% salt. She wants to obtain 140 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
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Algebra.Com's Answer #345508 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Solution A \n" ); document.write( "Amount = x ounces \n" ); document.write( "Concentration = 40% = 0.4 \n" ); document.write( "========================== \n" ); document.write( "Solution B \n" ); document.write( "Amount = 140-x ounces \n" ); document.write( "Concentration = 90% = 0.9 \n" ); document.write( "========================= \n" ); document.write( "Final Solution \n" ); document.write( "Amount = 140 ounces \n" ); document.write( "Concentration = 80% = 0.8\r \n" ); document.write( "\n" ); document.write( "========================================================================== \n" ); document.write( "Amount A * Concentration A + Amount B * Concentration B = Final Amount * Final Concentration \n" ); document.write( "0.4*x+0.9(140-x)=140*0.8 \n" ); document.write( "0.4x+126-0.9x=112 \n" ); document.write( "0.4x-0.9x=112-126 \n" ); document.write( "-0.5x=14 \n" ); document.write( "-0.5x/-0.5=14/-0.5 \n" ); document.write( "x=28 \n" ); document.write( "=============================================== \n" ); document.write( "Solution A \n" ); document.write( "Amount = x = 28 ounces \n" ); document.write( "Concentration = 40% = 0.4 \n" ); document.write( "========================== \n" ); document.write( "Solution B \n" ); document.write( "Amount = 140-x = 140-28 = 112 ounces \n" ); document.write( "Concentration = 90% = 0.9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "She should use Solution A 28 ounces and Solution B 112 ounces to obtain a mixture of 140 ounces with 80% Salt. \n" ); document.write( " \n" ); document.write( " |