document.write( "Question 94122: 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( "
Algebra.Com's Answer #68582 by stanbon(75887)![]() ![]() ![]() 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( "85% thread DATA: \n" ); document.write( "Amt. of thread = x kg ; Amt of silk in it= 0.85x kg \n" ); document.write( "------------------ \n" ); document.write( "Pure silk DATA: \n" ); document.write( "Amt of thread = \"75-x\"kg ; Amt of silk in it = 1(75-x)kg \n" ); document.write( "--------------------- \n" ); document.write( "Mixture DATA: \n" ); document.write( "Amt of mixture = 75 kg ; Amt of silk in it = 0.96*75 = 72 kg \n" ); document.write( "----------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "silk + silk = silk \n" ); document.write( "0.85x + 75-x = 72 \n" ); document.write( "-0.15x = -3 \n" ); document.write( " x = 20 kg (Amt of 85% thread in the mixture) \n" ); document.write( "------ \n" ); document.write( "75-x = 55 kg (Amt of pure silk in the mixture) \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |