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)\"\" \"About 
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
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "Subtract .25x from each side:
\n" ); document.write( "5.25 +.75x = 8.75\r
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\n" ); document.write( "\n" ); document.write( "Subtract 5.25 from each side:
\n" ); document.write( ".75x = 8.75-5.25=3.50\r
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\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
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\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
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\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
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\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
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