document.write( "Question 426952: How would I set this problem up? A Cupronickel alloy that is 60% copper and 40% nickel is needed to manufacturea marine propeller. Only two cupronickel alloys are available, one is 75% copper and 25% nickel and the other is 55% copper and 45% nickel. How many pounds of each of these alloys need to be melted and combined to obtain 300 pounds of the 60% copper/ 40% nickel alloy? I am havin trouble because there are two metals that need to be melted together and I'm not sure of what I am supposed to do. \n" ); document.write( "
Algebra.Com's Answer #296925 by mananth(16946)![]() ![]() You can put this solution on YOUR website! The problem is set to just see your analatical ability. ( OR confuse you)\r \n" ); document.write( "\n" ); document.write( "If you have 60% copper then naturally you will have 40% Nickel in the final alloy.\r \n" ); document.write( "\n" ); document.write( "So lets say we need 60% copper in the alloy.\r \n" ); document.write( "\n" ); document.write( "--------percent ----------------quantity \n" ); document.write( "Alloy 1 75 ----------------x pounds \n" ); document.write( "Alloy 2 55 ----------------300-x pounds \n" ); document.write( "Total 60.00% ----------------300 \n" ); document.write( "75x+55(300-x)= 60*300 \n" ); document.write( "75x+16500-55x=18000 \n" ); document.write( "75x-55x =18000 -16500 \n" ); document.write( "20x=1500 \n" ); document.write( "/20 \n" ); document.write( "x=75 pounds 75.00% Alloy \n" ); document.write( "225 pounds of 55.00% Alloy\r \n" ); document.write( "\n" ); document.write( "--------------------- \n" ); document.write( "Work the other way using Nickel as the required %. you get the same quantities.\r \n" ); document.write( "\n" ); document.write( "---------percent----------------quantity \n" ); document.write( "Alloy 1 25 ----------------x pounds \n" ); document.write( "Alloy 2 45 ----------------300-x pounds \n" ); document.write( "Total 5.00% ----------------300 \n" ); document.write( "25x+45(300-x)=40*300 \n" ); document.write( "25x+13500-45x=12000 \n" ); document.write( "25x-45x =12000-13500 \n" ); document.write( "-20x= -1500 \n" ); document.write( "/-20 \n" ); document.write( "x=75 pounds 25.00% \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " 225 pounds 45.00% \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |