document.write( "Question 1110017: By mass, one alloy consists of 60% copper and 40% ziinc. Another is 30% copper and 70% zinc. How many grams of each alloy are needed to make 120g of an alloy that consists of 50% of each metal? \n" ); document.write( "
Algebra.Com's Answer #725020 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! By mass, one alloy consists of 60% copper and 40% zinc. Another is 30% copper and 70% zinc. How many grams of each alloy are needed to make 120g of an alloy that consists of 50% of each metal? \n" ); document.write( "-------- \n" ); document.write( "Copper Eq:: 0.6x + 0.3y = 0.5*120 \n" ); document.write( "Zinc Eq:: 0.4x + 0.7y = 0.5*120 \n" ); document.write( "---------------------- \n" ); document.write( "6x + 3y = 5*120 \n" ); document.write( "4x + 7y = 5*120 \n" ); document.write( "------ \n" ); document.write( "24x + 12y = 20*120 \n" ); document.write( "24x + 42y = 30*120 \n" ); document.write( "----- \n" ); document.write( "30y = 1200 \n" ); document.write( "y = 40 grams (wt. of alloy with 30% copper) \n" ); document.write( "--- \n" ); document.write( "x = 120-40 = 80 grams (wt of alloy with 60% copper) \n" ); document.write( "---------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------- \n" ); document.write( " |