document.write( "Question 631713: please help me solve this mixture problem. Thanks! \r
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document.write( "Maricar has a solution that is 60% alcohol and another solution that is 60% alcohol. If maricar wants 12 gallons of a solution that is 45% alcohol, how many gallons of the 40% solution and of the 60% solution should be mix together to obtain her 45% solution? \n" );
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Algebra.Com's Answer #399314 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Solution A \n" ); document.write( "========= \n" ); document.write( "Amount = x \n" ); document.write( "Concentration =40% =0.4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution B \n" ); document.write( "========= \n" ); document.write( "Amount = 12-x \n" ); document.write( "Concentration =60% = 0.6\r \n" ); document.write( "\n" ); document.write( "Mixture \n" ); document.write( "======== \n" ); document.write( "Amount =12 \n" ); document.write( "Concentration =45%=0.45\r \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)(0.4)+(12-x)(0.6)=(12)(0.45) \n" ); document.write( "0.4x+7.2-0.6x=5.4 \n" ); document.write( "-0.2x+7.2=5.4 \n" ); document.write( "-0.2x=-1.8 \n" ); document.write( "-0.2x/-0.2=-1.8/-0.2 \n" ); document.write( "x=9\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution A \n" ); document.write( "========= \n" ); document.write( "Amount = x = 9 gallons \n" ); document.write( "Concentration =40% =0.4 \n" ); document.write( "Solution B \n" ); document.write( "========= \n" ); document.write( "Amount = 12-x = 12-9 = 3 gallons \n" ); document.write( "Concentration =60% = 0.6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9 gallons of the 40% solution and 3 gallons of the 60% solution should be mix together to obtain 12 gallons of 45% solution?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |