document.write( "Question 138220: How much 5% maple syrup and water mixture must be added to 100% maple syrup to produce 5 quarts of syrup that is 10% maple syrup? \n" ); document.write( "
Algebra.Com's Answer #100986 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! How much 5% maple syrup and water mixture must be added to 100% maple syrup to produce 5 quarts of syrup that is 10% maple syrup? \n" ); document.write( ": \n" ); document.write( "Let x = amt 5% maple syrup \n" ); document.write( "Then \n" ); document.write( "(5 - x) = amt of 100% maple syrup required \n" ); document.write( ": \n" ); document.write( ".05x + 1.0(5-x) = .10(5) \n" ); document.write( ": \n" ); document.write( ".05x + 5 - 1x = .5 \n" ); document.write( ": \n" ); document.write( ".05x - 1x = .5 - 5 \n" ); document.write( ": \n" ); document.write( "-.95x = -4.5 \n" ); document.write( "x = \n" ); document.write( "x = +4.737 qts of the 5% mixture \n" ); document.write( ": \n" ); document.write( "Check solution in original equation: \n" ); document.write( ".05(4.737) + 1(5 - 4.737) = .10(5) \n" ); document.write( ".237 + .263 =5 \n" ); document.write( " |