document.write( "Question 707567: A chemist has two alloys, one of which is 15% gold and 25% lead and the other which is 40% gold and 30% lead. How many grams of each of the two alloys should be used to make an alloy that contains 76.5 g of gold and 116.5 g of lead? \n" ); document.write( "
Algebra.Com's Answer #435760 by josgarithmetic(39617)![]() ![]() ![]() You can put this solution on YOUR website! Allow 1, x \n" ); document.write( "Allow 2, y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Accounting for the quantity of gold: 0.15x+0.40y=76.5 grams of Gold. Note this uses both alloys available, as does the next equation;\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Account for the quantity of lead: 0.25x+0.30y=116.5 grams Lead.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "System to start with is this: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This will help to eliminate terms of y and to first solve for x. \n" ); document.write( "3*( \n" ); document.write( "4*( \n" ); document.write( "Subtract one equation from the other.\r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "....and THIS may help to eliminate terms of x and solve for y. \n" ); document.write( "5*( \n" ); document.write( "3*( \n" ); document.write( "Subtract one equation from the other. \n" ); document.write( " |