document.write( "Question 801750: A chemist has two alloys, one of which is 5% gold and 15% lead and the other which is 40% gold and 50% lead. How many grams of each of the two alloys should be used to make an alloy that contains 42.5 g of gold and 92.5 g of lead? \n" ); document.write( "
Algebra.Com's Answer #483623 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A chemist has two alloys, one of which is 5% gold and 15% lead and the other which is 40% gold and 50% lead. How many grams of each of the two alloys should be used to make an alloy that contains 42.5 g of gold and 92.5 g of lead? \n" ); document.write( "***\r \n" ); document.write( "\n" ); document.write( "let x=amt of 40% gold and 50% lead alloy to be used \n" ); document.write( "let y=amt of 5% gold and 15% lead alloy to be used \n" ); document.write( ".. \n" ); document.write( "50%x+15%y=92.5 \n" ); document.write( "40%x+5%y=42.5 \n" ); document.write( ".. \n" ); document.write( "50%x+15%y=92.5 \n" ); document.write( "120%x+15%y=127.5 \n" ); document.write( "subtract \n" ); document.write( "-70%x=35 \n" ); document.write( "x=35/0.7=50 \n" ); document.write( "5%y=42.5-40%*50=42.5-20=22.5 \n" ); document.write( "y=22.5/.05=450 \n" ); document.write( ".. \n" ); document.write( "amt of 40% gold and 50% lead alloy to be used=50 g \n" ); document.write( "let y=amt of 5% gold and 15% lead alloy to be used=450 g \n" ); document.write( " |