document.write( "Question 145304: an alloy of tin and copper contains 14 pounds of tin and 26 pounds of copper.
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document.write( "a second alloy of tin and copper contains 8 pounds of tin and 24 pounds of copper. How many pounds of each alloy must be taken to form a third alloy
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document.write( "containing 15 pounds of tin and 35 pounds of copper. \n" );
document.write( "
Algebra.Com's Answer #105975 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! n alloy of tin and copper contains 14 pounds of tin and 26 pounds of copper. \n" ); document.write( "a second alloy of tin and copper contains 8 pounds of tin and 24 pounds of copper. How many pounds of each alloy must be taken to form a third alloy \n" ); document.write( "containing 15 pounds of tin and 35 pounds of copper. \n" ); document.write( ": \n" ); document.write( "Solve this using the decimal value of %tin: \n" ); document.write( ": \n" ); document.write( "Find the per cent tin in the 1st alloy: \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Find the per cent tin in the 2nd alloy \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Find the per cent tin in the resulting alloy \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Let x = amt of the 1st alloy required \n" ); document.write( ": \n" ); document.write( "The resulting total amt is (15 + 35) = 50 lb, therefore: \n" ); document.write( "(50-x) = amt of the 2nd equation \n" ); document.write( ": \n" ); document.write( "The per cent tin equation: \n" ); document.write( ".35x + .25(50-x) = .3(50) \n" ); document.write( ": \n" ); document.write( ".35x + 12.5 - .25x = 15 \n" ); document.write( ": \n" ); document.write( ".35x - .25x = 15 - 12.5 \n" ); document.write( ": \n" ); document.write( ".10x = 2.5 \n" ); document.write( "x = \n" ); document.write( "x = 25 lb of alloy #1 \n" ); document.write( "and \n" ); document.write( "50 - 25 = 25 lb of alloy #2 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution using %tin equation \n" ); document.write( ".35(25) + .25(25) = .30(50) \n" ); document.write( "8.75 + 6.25 =15 \n" ); document.write( " |