document.write( "Question 500261: How much water must be evaporated from the 15 liters of the 12 percent dye solution to obtain a solution that is 20 percent dye? Assume that the total amount of dye is not affected by the process of evaporation.
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How much water must be evaporated from the 15 liters of the 12 percent dye solution to obtain a solution that is 20 percent dye?
\n" ); document.write( "Assume that the total amount of dye is not affected by the process of evaporation.
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\n" ); document.write( "Let x = amt that has to be evaporated to accomplish this
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\n" ); document.write( ".12(15) = .20(15 - x)
\n" ); document.write( "1.8 = 3 - .2x
\n" ); document.write( ".2x = 3 - 1.8
\n" ); document.write( ".2x = 1.2
\n" ); document.write( "x = \"1.2%2F.2\"
\n" ); document.write( "x = 6 liters has to be evaporated
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\n" ); document.write( "We can confirm this, the amt of dye remains the same (only the percent changes)
\n" ); document.write( ".12(15) = .20(15 - 6)
\n" ); document.write( "1.8 = .20(9)
\n" ); document.write( "1.8 = 1.8 liters is the amt of dye
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