document.write( "Question 1163883: The total mass of a mixture of two liquids is 2.4 kg and the total volume is 1000 cm³ if 1cm³ of one of the liquids weighs 2 grams and 1 cm³ of the other liquid weighs 3 grams what volume of each liquid is present and what mass of each liquid is present. \n" ); document.write( "

Algebra.Com's Answer #788140 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "Let x be the volume of the first liquid and y be the volume of the second liquid (in cm^3).\r\n" );
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document.write( "Then the total volume equation is  x +   y = 1000  cm^3,      (1)\r\n" );
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document.write( "while the total mass equation is   2x + 3y = 2400 grams.      (2)\r\n" );
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document.write( "From the first equation  x = 1000 - y.\r\n" );
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document.write( "Substitute it into the second equation.  You will get\r\n" );
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document.write( "    2*(1000-y) + 3y = 2400\r\n" );
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document.write( "Simplify and find y.\r\n" );
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document.write( "    2000 - 2y + 3y = 2400\r\n" );
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document.write( "    y              =  400.\r\n" );
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document.write( "Then from equation (1),  x = 1000-400 = 600.\r\n" );
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document.write( "thus the volumes are  600 cm^3  and  400 cm^3  for the first and the second liquids, respectively.\r\n" );
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document.write( "The masses are  2*600 = 1200 grams  and 3*400 = 1200 grams  (the same masses for both liquids).\r\n" );
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