document.write( "Question 168136: Ground beef sells for $4.75 per kg and ground pork sells for $5.50 per kg. How many kilograms of ground pork should be mixed with 8 kg of ground beef to make a mixture that sells for $5.10 per kg? \n" ); document.write( "

Algebra.Com's Answer #123913 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"p\"$ = kg of groud pork to be used
\n" ); document.write( " $\"5.5p\"$ = price of $\"p\"$ kg of ground pork
\n" ); document.write( " $\"4.75%2A8+=+38\"$ = the price of 8 kg of ground beef
\n" ); document.write( " $\"5.5p+%2B+38\"$ = the price of all the meat used
\n" ); document.write( " $\"p+%2B+8\"$ = kg of all the meat used
\n" ); document.write( "It is given that the price per kg of the mixture is $5.10
\n" ); document.write( " $\"%285.5p+%2B+38%29+%2F+%28p+%2B+8%29+=+5.1\"$
\n" ); document.write( "Mulltiply both sides by $\"p+%2B+8\"$
\n" ); document.write( " $\"5.5p+%2B+38+=+5.1%2A%28p+%2B+8%29\"$
\n" ); document.write( " $\"5.5p+%2B+38+=+5.1p+%2B+40.8\"$
\n" ); document.write( " $\".4p+=+2.8\"$
\n" ); document.write( " $\"p+=+7\"$
\n" ); document.write( "7 kg of ground pork are needed
\n" ); document.write( "check answer:
\n" ); document.write( " $\"%285.5p+%2B+38%29+%2F+%28p+%2B+8%29+=+5.1\"$
\n" ); document.write( " $\"%285.5%2A7+%2B+38%29+%2F+%287+%2B+8%29+=+5.1\"$
\n" ); document.write( " $\"%2838.5+%2B+38%29+%2F+%287+%2B+8%29+=+5.1\"$
\n" ); document.write( " $\"76.5+%2F+15+=+5.1\"$
\n" ); document.write( " $\"5.1+=+5.1\"$
\n" ); document.write( "OK \n" ); document.write( "

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