document.write( "Question 1149876: A nurse has 100 ml of a solution that is 10% salt. How much sterile water must be added to make an 8% salt solution? (BTW I want how much sterile water needed to add) \n" ); document.write( "
Algebra.Com's Answer #771210 by ikleyn(52776)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            In this problem, concentration is measured in grams per milliliter, g/mL. \r
\n" ); document.write( "\n" ); document.write( "            //     Not in grams per grams (!)     It is important (!)     And it is important to understand (!)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "                        You can solve it using simple logic.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "100 ml of the 10% salt solution contain  0.1*100 = 10 grams of dissolved salt.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In order 10 grams of dissolved salt make 8% solution, the volume of the solution must be  \"10%2Fvolume\" = 0.08, i.e.  volume = \"10%2F0.08\" = 125 mL.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So you need add 125-100 = 25 mL of the sterile water.    ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "                        Or you can solve it using Algebra.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let W be the volume of the sterile water to add.\r\n" );
document.write( "\r\n" );
document.write( "Then the total volume is  (100+W) milliliters,  and your equation is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \"%280.1%2A100%29%2F%28100%2BW%29\" = 0.08,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "saying that the final concentration is 8%.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve it.  First step multiply both sides by (100+W).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    0.1*100 = 0.08(100+W)\r\n" );
document.write( "\r\n" );
document.write( "    10      = 8 + 0.08W\r\n" );
document.write( "\r\n" );
document.write( "    10 - 8  = 0.08W\r\n" );
document.write( "\r\n" );
document.write( "     2      = 0.08*W\r\n" );
document.write( "\r\n" );
document.write( "    W       = \"2%2F0.08\" = 25.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You get the same ANSWER : 25 mL of the sterile water should be added.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved (in two ways).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is a typical and standard mixture problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There is a bunch of introductory lessons in this site,  covering various types of mixture problems \r
\n" ); document.write( "\n" ); document.write( "    - Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving typical word problems on mixtures for solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for antifreeze solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for alloys \r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution the mixture word problems.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Mixture problems\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );