document.write( "Question 476412: One canned juice drink is 20% Orange juice; another 10% Orange juice. How many liters of each should be mixed together in order to get 10L that is 13% Orange juice? \n" ); document.write( "
Algebra.Com's Answer #326651 by ccs2011(207)![]() ![]() You can put this solution on YOUR website! Let A,B represent the amount of 20% drink and 10% drink. \n" ); document.write( "A+B = 10 \n" ); document.write( "0.2A + 0.1B = 0.13*10 \n" ); document.write( "Use substitution \n" ); document.write( "From 1st equation \n" ); document.write( "A = 10 - B \n" ); document.write( "Substituting into 2nd equation \n" ); document.write( "0.2(10-B) + 0.1B = 1.3 \n" ); document.write( "Distribute \n" ); document.write( "2 - 0.2B +0.1B = 1.3 \n" ); document.write( "Combine like terms \n" ); document.write( "-0.1B = -0.7 \n" ); document.write( "Divide by -.1 on both sides \n" ); document.write( "B = 7 \n" ); document.write( "Substituting back into 1st equation \n" ); document.write( "A = 10 - 7 = 3 \n" ); document.write( "Therefore 3L of 20% drink should be mixed with 7L of 10% drink. \n" ); document.write( " |