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%?
\n" ); document.write( " A. 12 L
\n" ); document.write( " B. 16 L
\n" ); document.write( " C. 18 L
\n" ); document.write( " D. 20 L
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Algebra.Com's Answer #835022 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "x = amount of water to evaporate
\n" ); document.write( "amount is in liters\r
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\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
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\n" ); document.write( "\n" ); document.write( "Answer:
\n" ); document.write( "18 liters of water must evaporate.
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