document.write( "Question 1075678: In the lab, Raina has two solutions that contain alcohol and is mixing them with each other. She uses 40 milliliters less of solution A than solution B. Solution S is 10% alcohol and solution B is 14% alcohol. How many milliliters of solution B does she use, if the resulting mixture has 176 milliliters of pure alcohol? \n" ); document.write( "

Algebra.Com's Answer #690345 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "In the lab, Raina has two solutions that contain alcohol and is mixing them with each other.
\n" ); document.write( "She uses 40 milliliters less of solution A than solution B.
\n" ); document.write( "Solution $\"highlight%28cross%28S%29%29\"$ A is 10% alcohol and solution B is 14% alcohol.
\n" ); document.write( "How many milliliters of solution B does she use, if the resulting mixture has 176 milliliters of pure alcohol?
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\n" ); document.write( "\n" ); document.write( "The solution by \"josgarithmetic\" is $\"highlight%28W-R-O-N-G%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Below find the correct solution.\r
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document.write( "Let V be the volume of the solution B in milliliters (the value under the question).\r\n" );
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document.write( "Then the volume of the solution A is  (V-40) milliliters, according to the condition.\r\n" );
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document.write( "The solution A contains  0.1*(V-40) milliliters of pure alcohol.\r\n" );
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document.write( "The solution B contains  0.14*V milliliters of pure alcohol.\r\n" );
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document.write( "The mixture of the solutions A and B contains  0.1*(V-40) + 0.14*V of pure alcohol.\r\n" );
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document.write( "Therefore, your equation is \r\n" );
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document.write( "0.1*(V-40) + 0.14*V = 176.\r\n" );
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document.write( "Simplify and solve for V.\r\n" );
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document.write( "0.1*V - 0.04 + 0.14*V = 176,\r\n" );
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document.write( "0.24*V = 180  --->  V =  = 750.\r\n" );
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document.write( "Answer.  750 milliliters of the solution A.\r\n" );
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