document.write( "Question 1161215: Pure acid is to be added to a 10% acid solution to obtain 99L of a 20% acid solution
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document.write( "What amounts should be used ? \n" );
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Algebra.Com's Answer #784719 by ikleyn(52787)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let x be the amount of the pure acid to add in order for to get 99L of a 20% solution.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It means that the amount of the 10% original acid was 99-x liters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The equation to find x is THIS\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 0.1*(99-x) + x = 0.2*99. (1)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It says that the amount of the pure acid in ingredients (left side) is the same as in the mixture (right side).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and solve the equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 0.1*99 - 0.1x +x = 19.8\r\n" ); document.write( "\r\n" ); document.write( " 0.9x = 19.8 - 0.1*99\r\n" ); document.write( "\r\n" ); document.write( " 0.9x = 9.9\r\n" ); document.write( "\r\n" ); document.write( " x =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is a standard and typical mixture word problem. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There is entire bunch of 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 dry substances like coffee beans, nuts, cashew and peanuts\r \n" ); document.write( "\n" ); document.write( " - Word problems on mixtures for dry substances like candies, dried fruits\r \n" ); document.write( "\n" ); document.write( " - Word problems on mixtures for dry substances like soil and sand\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( " - Advanced mixture problems \r \n" ); document.write( "\n" ); document.write( " - Advanced mixture problem for three alloys \r \n" ); document.write( "\n" ); document.write( " - Unusual word problem on mixtures \r \n" ); document.write( "\n" ); document.write( " - Check if you know the basics of mixtures from Science \r \n" ); document.write( "\n" ); document.write( " - OVERVIEW of lessons on word problems for mixtures\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A convenient place to quickly observe these lessons from a \"bird flight height\" (a top view) is the last lesson in the list.\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( " |