document.write( "Question 1011650: A goldsmith combined an alloy that costs 430 dollars per gram with an alloy that costs 180 dollars per gram. How many grams of each were used to make a mixture of 200 gram costing 250 dollars per gram? \n" ); document.write( "
Algebra.Com's Answer #627390 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A goldsmith combined an alloy that costs 430 dollars per gram with an alloy that costs 180 dollars per gram. How many grams of each were used to make a mixture of 200 gram costing 250 dollars per gram? \n" ); document.write( "----------- \n" ); document.write( "f + n = 200 grams \n" ); document.write( "430f + 180n = 250*200 \n" ); document.write( "---------------- \n" ); document.write( "Modify for elimination:: \n" ); document.write( "430f + 430n = 430*200 \n" ); document.write( "430f + 180n = 250*200 \n" ); document.write( "--------------- \n" ); document.write( "Subtract and solve for \"n\": \n" ); document.write( "250n = 180*200 \n" ); document.write( "n = 144 grams (amt. of $180 alloy needed) \n" ); document.write( "f = 56 grams (amt. of $430 alloy needed) \n" ); document.write( "--------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------- \n" ); document.write( " \n" ); document.write( " |