document.write( "Question 513554: A goldsmith mixed 10 grams of a 50% gold alloy with 40 grams of 15% gold alloy. What is the percent concentration of the resulting alloy? \n" ); document.write( "
Algebra.Com's Answer #343039 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Alloy A \n" ); document.write( "Amount = 10 grams \n" ); document.write( "Concentration =50% =0.5 \n" ); document.write( "================================ \n" ); document.write( "Alloy B \n" ); document.write( "Amount = 40 \n" ); document.write( "Concentration =15% = 0.15 \n" ); document.write( "============================== \n" ); document.write( "Final Alloy \n" ); document.write( "Amount =50 \n" ); document.write( "Concentration =x \n" ); document.write( "================================== \n" ); document.write( "[Amount Alloy A * Concentration A] + [Amount Alloy B * Concentration of B] = Amount of Final Alloy * Concentration of Final Alloy \n" ); document.write( "================================== \n" ); document.write( "(10)(0.5)+(10)(0.15)=(50)(x) \n" ); document.write( "5+1.5=50x \n" ); document.write( "6.5=50x \n" ); document.write( "6.5/50=50x/50 \n" ); document.write( "0.13=x \n" ); document.write( "x=0.13 \n" ); document.write( "x=13/100=13% \n" ); document.write( "==================================================== \n" ); document.write( "A goldsmith mixed 10 grams of a 50% gold alloy with 40 grams of 15% gold alloy which will result in 50 grams of a 13% gold alloy. \n" ); document.write( " |