document.write( "Question 913873: how many liters of water should be added to 20 liters of a 70 percent antifreeze solution to make a 50 percent antifreeze solution?
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Algebra.Com's Answer #554780 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! how many liters of water should be added to 20 liters of a 70 percent antifreeze solution to make a 50 percent acid solution? \n" ); document.write( "--------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"20 liters of a 70 percent antifreeze solution\" means we have\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "20*0.70 = 14 liters of pure antifreeze \n" ); document.write( "20-14 = 6 liters of pure water (alternate calculation: 20*0.3 = 6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x = amount of pure water to add\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We have 14 liters of pure antifreeze. This figure does NOT change when we add the pure water.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We have 20 liters of solution. This gets bumped up to 20+x when we add the pure water.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So we go from \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We want this percentage to be 50%, so set the fraction equal to 0.50 and solve for x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So you need to add 8 liters of pure water to make a 50 percent antifreeze solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let me know if you need more help or if you need me to explain a step in more detail. \n" ); document.write( "Feel free to email me at jim_thompson5910@hotmail.com \n" ); document.write( "or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thanks,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( " |