document.write( "Question 1032327: A chemist has two solutions of hydrochloric acid in stock: a 50% solution and an 80% solution. How much of each should be used to obtain 100 milliliters of a 68% solution? \n" ); document.write( "

Algebra.Com's Answer #646953 by ikleyn(52786) $\"\"$ $\"About$

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A chemist has two solutions of hydrochloric acid in stock: a 50% solution and an 80% solution. How much of each should be used to obtain 100 milliliters of a 68% solution?
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document.write( "   x +    y = 100,         (1)     (total mass equation)\r\n" );
document.write( "0.5x + 0.8y = 0.68*100.    (2)     (hydrochloric acid content equation)\r\n" );
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document.write( "or\r\n" );
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document.write( "   x +    y = 100,         (1')\r\n" );
document.write( "0.5x + 0.8y = 68.          (2')\r\n" );
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document.write( "Express y = 100 - x from (1') and substitute it into (2').\r\n" );
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document.write( "Then solve the obtained equation for x.\r\n" );
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document.write( "After finding x, substitute it into (1) and solve for y.\r\n" );
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