document.write( "Question 1207760: How much water must be evaporated from 240 gallons of a 3% salt solution to produce a 5% salt solution?\r
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document.write( "Let me see.\r
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document.write( "240(0.03) - x = 0.05(240 - x)\r
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document.write( "Is my set up equation correct? \r
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Algebra.Com's Answer #845815 by ikleyn(52778)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your intention was to write equation for the conservation of the dissolved salt mass \n" ); document.write( "in the mixture before and after evaporation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Right side of your equation (after evaporation) is written correctly: \n" ); document.write( "it is 0.05(240-x).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Left side for the initial salt mass is written incorrectly. \n" ); document.write( "It should be 0.03*240.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, your equation, in whole, is wrong.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There is one more moment to discuss. It is about units for salt mass.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this problem, the mass equation for salt is assumed to be written in kilograms.\r \n" ); document.write( "\n" ); document.write( "But for it, the volume of water should be in liters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, the conversion factor gallons --> liters should be introduced.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But after introducing this factor, it will present, as a factor, in both sides \n" ); document.write( "of the equation, and, therefore, can be reduced and omitted.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then the final answer for the volume of water will be in gallons.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You should keep it in your mind, in order for the entire logical line \n" ); document.write( "of the solution be correct in your head.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On similar problems, see the lesson\r \n" ); document.write( "\n" ); document.write( " - How much water must be evaporated \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |