document.write( "Question 1203078: A dairy farmer wants to mix a 20%
\n" ); document.write( " protein supplement and a standard 10%
\n" ); document.write( " protein ration to make 1200
\n" ); document.write( " pounds of a high-grade 15%
\n" ); document.write( " protein ration. How many pounds of each should he use? \n" ); document.write( "

Algebra.Com's Answer #838331 by ikleyn(52781) $\"\"$ $\"About$

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A dairy farmer wants to mix a 20% protein supplement
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\n" ); document.write( "protein ration. How many pounds of each should he use?
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document.write( "x        pounds of the 20% protein supplement and\r\n" );
document.write( "(1200-x) pounds  of a standard 10% protein ration.\r\n" );
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document.write( "The protein total mass equation is\r\n" );
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document.write( "    0.2x + 0.10*(1200-x) = 0.15*1200\r\n" );
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document.write( "Simplify, solve and find x\r\n" );
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document.write( "   0.2x + 120 - 0.1x = 180\r\n" );
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document.write( "   0.2x - 0.1x = 180 - 120\r\n" );
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document.write( "       0.1x    =    60\r\n" );
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document.write( "          x    =    60/0.1 = 600.\r\n" );
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document.write( "ANSWER.  600 pounds of the 20% protein supplement  and  1200-600 = 600 pounds of the standard 10% protein ration.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It also can be solved MENTALLY (~ guessed from the first glance), if to notice that
\n" ); document.write( "15% of the resulting protein concentration is half-way between 10% and 20% of the
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