document.write( "Question 1014604: A metalworker has a metal alloy that is 20% copper and another alloy that is 60% copper. How many kilograms of each alloy should the metal worker combine to create 80kg of a 44% copper alloy? \n" ); document.write( "
Algebra.Com's Answer #630877 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "T=amount of 20% alloy; S=amount of 60% alloy \n" ); document.write( ". \n" ); document.write( "T+S=80 \n" ); document.write( "T=80-S \n" ); document.write( ". \n" ); document.write( "0.20T+0.60S=0.44(80) \n" ); document.write( "0.20(80-S)+0.60S=35.2 \n" ); document.write( "16.0-0.20S+0.60S=35.2 \n" ); document.write( "0.40S=19.2 \n" ); document.write( "S=48 \n" ); document.write( "ANSWER 1: He should use 48 kg of 60% alloy. \n" ); document.write( ". \n" ); document.write( "T=80-S=80-48=32 \n" ); document.write( "ANSWER 2: He should use 32 kg of 20% alloy. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "0.20T+0.60S=0.44(80) \n" ); document.write( "0.20(32)+0.60(48)=35.2 \n" ); document.write( "6.4+28.8=35.2 \n" ); document.write( "35.2=35.2 \n" ); document.write( ".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |