document.write( "Question 1204800: One acetic acid solution is 70% water and another is 30% water. How many liters of each solution should be mixed to produce 20 liters of a solution that is 60% water? Solve using system of equations \n" ); document.write( "
Algebra.Com's Answer #841304 by mananth(16946)![]() ![]() You can put this solution on YOUR website! One acetic acid solution is 70% water and another is 30% water. How many liters of each solution should be mixed to produce 20 liters of a solution that is 60% water? Solve using system of equations \r \n" ); document.write( "\n" ); document.write( "One acetic acid solution is 70% water let the quantity be x liters \n" ); document.write( "another is 30% water Let quantity be y liters\r \n" ); document.write( "\n" ); document.write( "We need 20 liters of acid in final mix \n" ); document.write( "x+y=20-----------------------(1)\r \n" ); document.write( "\n" ); document.write( "water percentage equation. 60% water in 20 liters= 12 liters\r \n" ); document.write( "\n" ); document.write( "0.7x+0.3y= 12-----------------------(2) \n" ); document.write( "multiply by 10 \n" ); document.write( "7x+3y= 120 \n" ); document.write( "3x+3y=60 (1) multiplied by 3. subtract \n" ); document.write( "4x=60 \n" ); document.write( "x=15 \n" ); document.write( "Therefore y=5 \n" ); document.write( "Check\r \n" ); document.write( "\n" ); document.write( " 15+5=20\r \n" ); document.write( "\n" ); document.write( "0.7*15+5*0.3= 12\r \n" ); document.write( "\n" ); document.write( "15 liters of the 70% water acid and 5 liters of the 30% water acid are added\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |