document.write( "Question 1072191: A metal alloy is 35% copper. Another metal alloy is 50% copper. How much of each alloy should be used to make 600 grams of a metal alloy that is 45% copper? \n" ); document.write( "
Algebra.Com's Answer #687089 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A metal alloy is 35% copper. \n" ); document.write( " Another metal alloy is 50% copper. \n" ); document.write( "How much of each alloy should be used to make 600 grams of a metal alloy that is 45% copper? \n" ); document.write( ": \n" ); document.write( "let x = amt of 50% alloy \n" ); document.write( "resulting amt is be 600 gr, therefore \n" ); document.write( "(600-x) = amt of 35% alloy \n" ); document.write( ": \n" ); document.write( "Amt of copper equation \n" ); document.write( ".50x + .35(600-x) = .45(600) \n" ); document.write( ".50x + 210 - .35x = 270 \n" ); document.write( ".50x - .35x = 270 - 210 \n" ); document.write( ".15x = 60 \n" ); document.write( "x = 60/.15 \n" ); document.write( "x = 400 gr of 50% alloy required \n" ); document.write( "then, obviously; \n" ); document.write( "600-400 = 200 gr of 35% alloy \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "Check this in the original equation \n" ); document.write( ".50(400) + .35(200) = .45(600) \n" ); document.write( "200 + 70 = 270 \n" ); document.write( " |