document.write( "Question 1173513: A metalworker has a metal alloy that is 20% copper and another alloy that is 70% copper. How many kilograms of each alloy should the metalworker combine to create 80kg of a 60% copper alloy \n" ); document.write( "
Algebra.Com's Answer #798727 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "If a formal algebraic solution is not required, try this quick and easy method for solving 2-part \"mixture\" problems like this: \n" ); document.write( "You are mixing 20% copper with 70% copper to get 60% copper. \n" ); document.write( "60% is 40/50 = 4/5 of the way from 20% to 70%. (picture the three percentages on a number line, if it helps....) \n" ); document.write( "That means 4/5 of the mixture is the higher percentage alloy. \n" ); document.write( "ANSWER: 4/5 of 80kg, or 64kg, of 70% copper; the other 16kg of 20% copper. \n" ); document.write( "CHECK: \n" ); document.write( ".70(64)+.20(16) = 44.8+3.2 = 48 \n" ); document.write( ".60(80) = 48 \n" ); document.write( " \n" ); document.write( " |