document.write( "Question 205475: Word Problem: A certain metal is 40% tin. How many kilograms of this metal must be mixed with 50kg of metal that is 60% tin to get a metal that is 50% tin?\r
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document.write( "Please include the solution.
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Algebra.Com's Answer #155155 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A certain metal is 40% tin. How many kilograms of this metal must be mixed with \n" ); document.write( " 50kg of metal that is 60% tin to get a metal that is 50% tin? \n" ); document.write( ": \n" ); document.write( "Let x = amt of 40% time required to do this \n" ); document.write( ": \n" ); document.write( "A typical mixture equation: \n" ); document.write( ".40x + .60(50) = .50(x+50) \n" ); document.write( ": \n" ); document.write( ".4x + 30 = .5x + 25 \n" ); document.write( ": \n" ); document.write( "30 - 25 = .5x - .4x \n" ); document.write( ": \n" ); document.write( "5 = .1x \n" ); document.write( "x = \n" ); document.write( "x = 50 kg of 40% tin \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in original equation \n" ); document.write( ".40(50) + .60(50) = .50(50+50) \n" ); document.write( " |