document.write( "Question 376445: HOw many oz. of a metal containing 66% silver must be combined with 3 oz. of a metal containing 90% sivler to form an alloy containing 85% silver? \n" ); document.write( "
Algebra.Com's Answer #267825 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! How much silver is there in the alloys? \n" ); document.write( "Let x = the number of oz of 66% silver alloy. \n" ); document.write( "This contains (0.66)x oz of silver. \n" ); document.write( "The 3 oz of 90% silver alloy contain (0.9)(3) oz of silver. \n" ); document.write( "The sum of these is to equal (3+x)(0.85) oz of silver. \n" ); document.write( "We can write the equation to solve for x. \n" ); document.write( "0.66x+0.9(3) = 0.85(3+x) Simplify and solve for x. \n" ); document.write( "0.66x+2.7 = 2.55+0.85x Subtract 0.66x from both sides. \n" ); document.write( "2.7 = 2.55+0.19x Subtract 2.55 from both sides. \n" ); document.write( "0.15 = 0.19x Finally, divide both sides by 0.19 \n" ); document.write( "x = 0.789 oz of the 66% silver alloy will be required. \n" ); document.write( " |