document.write( "Question 146156: A chemist has one solution that is 25% salt and 75% water, and another solution that is 10% salt. How many liters of each sould the chemist use to make 120 liters of a solution that is 15% salt? \n" ); document.write( "

Algebra.Com's Answer #106731 by stanbon(75887) $\"\"$ $\"About$

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A chemist has one solution that is 25% salt and 75% water, and another solution that is 10% salt. How many liters of each sould the chemist use to make 120 liters of a solution that is 15% salt?
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\n" ); document.write( "25% solution data:
\n" ); document.write( "Amt. = x liters ; amt of salt = x/4 liters
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\n" ); document.write( "10% solution data:
\n" ); document.write( "Amt = 120-x liters ; amt of salt = 0.1(120-x) = 12-0.1x liters
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\n" ); document.write( "15% solution data:
\n" ); document.write( "Amt = 120 liters ; amt of salt = 0.15*120 = 18 liters
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\n" ); document.write( "EQUATION:
\n" ); document.write( "salt + salt = salt
\n" ); document.write( "x/4 + 12-0.1x = 18
\n" ); document.write( "Multiply thru by 40 to get:
\n" ); document.write( "10x + 480 - 4x = 18*40
\n" ); document.write( "14x = 18*40-480
\n" ); document.write( "x = 17.14 liters (amount of 25% solution in the mixture)
\n" ); document.write( "120-x = 102.86 liters (amount of 10% solution in the mixture)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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