document.write( "Question 168135: Ground beef sells for $4.75 per kg and ground pork sells for $7.60 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 #123909 by gonzo(654)\"\" \"About 
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problem:
\n" ); document.write( "Ground beef sells for $4.75 per kg and ground pork sells for $7.60 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( "-----
\n" ); document.write( "let b = kg of beef.
\n" ); document.write( "let p = kg of pork.
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\n" ); document.write( "formula to solve is:
\n" ); document.write( "4.75 * b + 7.60 * p = (b + p) * 5.10
\n" ); document.write( "-----
\n" ); document.write( "problem states that you will be using 8 kg of ground beef, so b = 8kg.
\n" ); document.write( "-----
\n" ); document.write( "equation becomes:
\n" ); document.write( "4.75 * 8 + 7.60 * p = (8 + p) * 5.10
\n" ); document.write( "remove parentheses on the right hand side of equation:
\n" ); document.write( "4.75 * 8 + 7.60 * p = 8 * 5.10 + 5.10 * p
\n" ); document.write( "perform indicated operations:
\n" ); document.write( "38 + 7.60 * p = 40.8 + 5.10 * p
\n" ); document.write( "subtract 38 from both sides of equation:
\n" ); document.write( "7.60 * p = 40.8 - 38 + 5.10 * P
\n" ); document.write( "subtract 5.10 * p from both sides of equation:
\n" ); document.write( "7.60 * p - 5.10 * p = 40.8 - 38
\n" ); document.write( "simplify:
\n" ); document.write( "(7.60 - 5.10) * p = 2.8
\n" ); document.write( "2.5 * p = 2.8
\n" ); document.write( "divide both sides of equation by 2.5:
\n" ); document.write( "p = 2.8 / 2.5 = 1.12 kg.
\n" ); document.write( "-----
\n" ); document.write( "original formula is:
\n" ); document.write( "4.75 * b + 7.60 * p = (b + p) * 5.10
\n" ); document.write( "-----
\n" ); document.write( "b = 8 (given)
\n" ); document.write( "p = 1.12 (solved)
\n" ); document.write( "formula becomes:
\n" ); document.write( "4.75 * 8 + 7.60 * 1.12 = (1.12 + 8) * 5.10
\n" ); document.write( "simplifying:
\n" ); document.write( "38 + 8.512 = 9.12 * 5.10
\n" ); document.write( "46.512 = 46.512
\n" ); document.write( "formula is true with values of b and p as stated.
\n" ); document.write( "-----
\n" ); document.write( "answer to the problem is:
\n" ); document.write( "1.12 kg of ground pork needs to be mixed with 8 kg of ground beef to make a mixture that sells for $5.10 per kg.\r
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