document.write( "Question 633555: A chemist is making 200 L of a solution that is 62% acid. He is mixing an 80% acid solution with a 30% acid solution. How much of the 80% acid solution will he use?
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Algebra.Com's Answer #399302 by Maths68(1474) You can put this solution on YOUR website! Mixture \n" ); document.write( "======== \n" ); document.write( "Amount=200L \n" ); document.write( "Concentration=62%=0.62\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution A \n" ); document.write( "========= \n" ); document.write( "Amount = x \n" ); document.write( "Concentration =80% =0.8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution B \n" ); document.write( "========= \n" ); document.write( "Amount = 200-x \n" ); document.write( "Concentration =30% = 0.3\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "[Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B] = [Amount of Mixture *Concentration of Mixture] \n" ); document.write( "(x)(0.8)+(200-x)(0.3)=(200)(0.62) \n" ); document.write( "0.8x+60-0.3x=124 \n" ); document.write( "0.5x=124-60 \n" ); document.write( "0.5x=64 \n" ); document.write( "0.5x/0.5=64/0.5 \n" ); document.write( "x=128\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Chemist has to mix 128L of the 80% solution with 72L of 30% solution to get a 200L mixture of 62% acid solution.. \n" ); document.write( " \n" ); document.write( " |