document.write( "Question 155666: How many liters of a 10% alcohol solution must be mixed with 70 liters of a 90% solution to get a 30% solution?\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance for your help!
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Algebra.Com's Answer #114702 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
There are 2 unknowns in the problem: VOLUME OF ALCOHOL ---> \"A%28Liters%29\"? VOLUME OF OUTPUT SOLUTION---> \"S%5B2%5D%28Liters%29\"?
\n" ); document.write( "We'll go to the 1st condition: 10% of Alcohol mixed with 90% of 70L of initial solution \"S%5B1%5D\" to produce 30% of \"S%5B2%5D\". To show:
\n" ); document.write( "\"0.10A%2B70L%280.90%29=0.30S%5B2%5D\"
\n" ); document.write( "\"0.10A%2B63L=0.30S%5B2%5D\" ----------------------> eqn 1
\n" ); document.write( "Now, when we add the Volume of \"A\" and \"S%5B1%5D\", we get the volume of \"S%5B2%5D\". To show:
\n" ); document.write( "\"A%2BS%5B1%5D=S%5B2%5D\" --------------------------------> eqn 2
\n" ); document.write( "Continuing, \"A%2B70L=S%5B2%5D\" ---------------------> eqn 3
\n" ); document.write( "Substitute eqn 3 in eqn 1:
\n" ); document.write( "\"0.10A%2B70L%280.90%29=0.30%28A%2B70L%29\"
\n" ); document.write( "\"0.10A%2B63L=0.30A%2B21L\"
\n" ); document.write( "\"63L-21L=0.30A-0.10A\"
\n" ); document.write( "\"42L=0.20A\" -----> \"cross%2842L%29210L%2Fcross%280.20%29=cross%280.20%29A%2Fcross%280.20%29\"
\n" ); document.write( "\"A=210L\" -------------------> volume of Alcohol
\n" ); document.write( ": For Volume of \"S%5B2%5D\", go back eqn 2:
\n" ); document.write( "\"210L%2B70=S%5B2%5D\"
\n" ); document.write( "\"S%5B2%5D=280L\" -------------------> volume of output solution
\n" ); document.write( "In doubt? go back eqn 1:
\n" ); document.write( "\"0.10%28210%29%2B70%280.90%29=0.30%28280%29\"
\n" ); document.write( "\"21%2B63=84\"
\n" ); document.write( "\"84L=84L\"
\n" ); document.write( "thank you
\n" ); document.write( "Jojo\r
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