document.write( "Question 1053410: A chemist needs 100 liters of a 50% acid solution for an experiment. She has only 55 liters of a 75% acid solution and 55 liters of a 30% acid solution in stock. How much of each solution should she use? Does she have enough of each? \n" ); document.write( "

Algebra.Com's Answer #668646 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "A chemist needs 100 liters of a 50% acid solution for an experiment. She has only 55 liters of a 75% acid solution
\n" ); document.write( "and 55 liters of a 30% acid solution in stock. How much of each solution should she use? Does she have enough of each?
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document.write( "The governing equation is\r\n" );
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document.write( "0.75x + 0.3(100-x) = 0.5*100.\r\n" );
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document.write( "Simplify and solve:\r\n" );
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document.write( "0.75x + 30 -0.3x = 50,\r\n" );
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document.write( "0.45x = 20  --->  x =  =  =  = 44.(4).\r\n" );
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document.write( "She needs 44.(4) liters of the 75% acid solution and 100-44.(4) = 55.(5) liters of the 30% acid solution.\r\n" );
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document.write( "She doesn't have enough the 30% acid solution to mix.\r\n" );
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