document.write( "Question 218873: A certain solution of salt water is 15% salt and weighs 35 pounds. How much salt must be added to produce a solution that is 25% salt? \n" ); document.write( "
Algebra.Com's Answer #164744 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Let x = number of pounds of pure salt that must be added. \n" ); document.write( "35 = number of pounds of solution at the beginning \n" ); document.write( ".15*35 = number of pounds of salt at the beginning \n" ); document.write( "x+35 = total number of pounds of solution at the end \n" ); document.write( ".25(x+35) = total number of pounds of salt at the end\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The equation is based upon the fact that the amount of salt in the solution + the amount of salt added = total amount of salt in the solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".15(35) + 1.00*x = .25(x+35)\r \n" ); document.write( "\n" ); document.write( "5.25+ 1.00x = .25x + 8.75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract .25x from each side: \n" ); document.write( "5.25 +.75x = 8.75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 5.25 from each side: \n" ); document.write( ".75x = 8.75-5.25=3.50\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by .75: \n" ); document.write( "x= 3.50/.75 \n" ); document.write( "x= 350/75= 14/3 = 4 2/3 = 4.66666. . . pounds of salt\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I know this is an ugly answer, and the check is even uglier! I did check this, and it seems to work, although I will spare the details!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For additional explanation on this topic, please go to my website. Do a \"Bing\" search for my last name \"Rapalje\". Look for \"Rapalje Homepage\" at the top of this search. Look near the top of my Homepage for \"Basic, Intermediate and College Algebra: One Step at a Time\", click on \"Intermediate Algebra\" and look in Chapter 1 for Section 1.05 Applications.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired \n" ); document.write( "Seminole State College of Florida \n" ); document.write( "Altamonte Springs Campus \n" ); document.write( " |