document.write( "Question 889017: A silversmith needs 40 pounds of a 48% silver alloy to finish a collection of jewelry. How many pounds of 45% silver alloy should he melt with a 60% silver alloy to obtain the alloy he needs. \n" ); document.write( "
Algebra.Com's Answer #537831 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A silversmith needs 40 pounds of a 48% silver alloy to finish a collection of jewelry. How many pounds of 45% silver alloy should he melt with a 60% silver alloy to obtain the alloy he needs. \n" ); document.write( "------------------------------------------ \n" ); document.write( "Equation: \n" ); document.write( "silver + silver = silver \n" ); document.write( "0.45x + 0.60(40-x) = 0.48*40 \n" ); document.write( "---------------- \n" ); document.write( "45x + 60*40 - 60x = 48*40 \n" ); document.write( "-------- \n" ); document.write( "-15x = -12*40 \n" ); document.write( "x = (4/5)40 \n" ); document.write( "x = 32 lbs (amt of 45% slloy needed) \n" ); document.write( "40-x = 8 lbs (amt of 60% alloy needed) \n" ); document.write( "------------------------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |