document.write( "Question 1089888: How many ounces of an alloy containing 35% aluminum must be melted with an alloy containing 65% aluminum to obtain 30 ounces of an alloy containing 55% aluminum? \n" ); document.write( "
Algebra.Com's Answer #704267 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! How many ounces of an alloy containing 35% aluminum must be melted with an alloy containing 65% aluminum to obtain 30 ounces of an alloy containing 55% aluminum? \n" ); document.write( ": \n" ); document.write( "Let x = amt of 35% alloy \n" ); document.write( "then \n" ); document.write( "(30-x) = amt of 65% alloy \n" ); document.write( ": \n" ); document.write( "A mixture equation \n" ); document.write( ".35x + .65(30-x) = .55(30) \n" ); document.write( ".35x + 19.5 - .65x = 16.5 \n" ); document.write( ".35x - .65x = 16.5 - 19.5 \n" ); document.write( "-.30x = -3 \n" ); document.write( "x = -3/-.3 \n" ); document.write( "x = +10 oz of the 35% alloy required \n" ); document.write( " |