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)\"\" \"About 
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( "
\n" );