document.write( "Question 93591: I also need some help on this question if anyone is able to help.
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document.write( "A clothing manufacturer has some pure silk thread and some thread that is 85% silk. How many kilograms of each must be woven together to make 75kg of a blend that is 96% silk? Thanks for your time. \n" );
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Algebra.Com's Answer #68183 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A clothing manufacturer has some pure silk thread and some thread that is 85% silk. How many kilograms of each must be woven together to make 75kg of a blend that is 96% silk? \n" ); document.write( ": \n" ); document.write( "Let x = amt in kg of pure silk thread, \n" ); document.write( ": \n" ); document.write( "The resulting total is given as 75 kg, therefore: \n" ); document.write( "(75-x) = amt in kg of the 85% thread \n" ); document.write( ": \n" ); document.write( "The mixture equation: \n" ); document.write( "1.0x + .85(75-x) = .96(75) \n" ); document.write( ": \n" ); document.write( "1x + 63.75 - .85x = 72; multiplied what's inside the brackets \n" ); document.write( ": \n" ); document.write( "1x - .85x = 72 - 63.75 \n" ); document.write( ": \n" ); document.write( ".15x = 8.25 \n" ); document.write( ": \n" ); document.write( "x = 8.25/.15 \n" ); document.write( ": \n" ); document.write( "x = 55 kg of pure silk thread \n" ); document.write( "Then \n" ); document.write( "75 - 55 = 20 kg of 85% thread \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution \n" ); document.write( "1(55) + .85(20) = .96(75) \n" ); document.write( "55 + 17 = 72 \n" ); document.write( " |