document.write( "Question 1135345: An engine has a 4.6 litre capacity cooling system. If the most ideal solution of antifreeze for this engine is a 55.1 % solution (a mix of 55.1 % pure antifreeze and 44.9 % water). How much pure antifreeze (in litres) must be combined with a 45.4 % solution to achieve 4.6 litres of the ideal solution?
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document.write( "Express your answer to three significant digits. \n" );
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Algebra.Com's Answer #752956 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Unfortunately, in the post by @greenestamps the base equation is written with a mistake,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " so I came to fix it and to provide correct algebraic solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x be the amount (the volume) of the pure antifreeze to mix (precisely the value under the problem's question).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then your base equation is \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x + 0.454(4.6-x) = 0.551*4.6\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "saying that the amount of the pure antifreeze in the mixture is the sum of its amounts in the ingredients.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Notice that this equation is different from that of the post by @greenstamps, where it was written with mistake.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The solution is in one line\r\n" ); document.write( "\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( "There is entire bunch of lessons 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( " - OVERVIEW of lessons on word problems for mixtures\r \n" ); document.write( "\n" ); document.write( "in this site.\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( " |