document.write( "Question 1119968: A chemist has two large containers of sulfuric acid solution, with different concentrations of acid in each container. Blending 200 mL of the first solution and 700 mL of the second gives a mixture that is 14% acid, whereas blending 300 mL of the first mixed with 900 mL of the second gives a
\n" );
document.write( "14 1/2% acid mixture. What are the concentrations of sulfuric acid in the original containers? \n" );
document.write( "
Algebra.Com's Answer #735597 by ikleyn(52802)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "The condition gives you this system of two equations in two unknowns\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "200x + 700y = 0.14 *(200+700) (1)\r\n" ); document.write( "300x + 900y = 0.145*(300+900) (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "where x is the concentration of the acid in the first container (expressed as real number) and \r\n" ); document.write( "\r\n" ); document.write( " y is the concentration of the acid in the second container.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and solve the system.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |