document.write( "Question 1200677: How much water must be evaporated from 180 L of 72% brine solution in order to increase the solution’s concentration by 8%?
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document.write( " A. 12 L
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document.write( " B. 16 L
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document.write( " C. 18 L
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document.write( " D. 20 L \n" );
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Algebra.Com's Answer #835022 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "x = amount of water to evaporate \n" ); document.write( "amount is in liters\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "72% of 180 = 0.72*180 = 129.6 = amount of pure salt. \n" ); document.write( "This amount stays the same no matter how much water evaporates (since salt isn't carried into the air by the water particles).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 129.6 = amount of salt left after evaporation \n" ); document.write( "B = 180-x = amount of solution left after evaporation \n" ); document.write( "A/B = concentration of salt after evaporation \n" ); document.write( "A/B = (129.6)/(180-x) \n" ); document.write( "A/B = 0.80\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(129.6)/(180-x) = 0.80 \n" ); document.write( "129.6 = (180-x)0.80 \n" ); document.write( "129.6 = 0.80(180-x) \n" ); document.write( "129.6 = 0.80(180)+0.80(-x) \n" ); document.write( "129.6 = 144-0.80x \n" ); document.write( "129.6+0.80x = 144 \n" ); document.write( "0.80x = 144-129.6 \n" ); document.write( "0.80x = 14.4 \n" ); document.write( "x = (14.4)/(0.80) \n" ); document.write( "x = 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( "(129.6)/(180-x) = 0.80 \n" ); document.write( "(129.6)/(180-18) = 0.80 \n" ); document.write( "(129.6)/(162) = 0.80 \n" ); document.write( "0.80 = 0.80 \n" ); document.write( "The answer is confirmed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: \n" ); document.write( "18 liters of water must evaporate. \n" ); document.write( " \n" ); document.write( " |