document.write( "Question 1197227: The nut shack hazelnuts for 7.00 per pound and peanuts for 4.50 per pound how much of each type should be used to make a 24 pound mixture that sells for 5.54 per pound round answers to the nearest pounds
\n" ); document.write( "Pounds of hazelnuts
\n" ); document.write( "Pounds of peanut nuts \n" ); document.write( "

Algebra.Com's Answer #830405 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "Let: \r
\n" ); document.write( "\n" ); document.write( " $\"x\"$ =hazelnuts\r
\n" ); document.write( "\n" ); document.write( " $\"y\"$ =peanuts\r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "Therefore:\r
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+y+=+24\"$ ...........eq.1\r
\n" ); document.write( "\n" ); document.write( " $\"7.00x+%2B+4.50y+=+5.54+%2A24\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"7.00x+%2B+4.50y+=+132.96\"$ .........eq.2\r
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\n" ); document.write( "\n" ); document.write( "By using the substitution method:\r
\n" ); document.write( "\n" ); document.write( " $\"y+=+24+-+x\"$ .............eq. 1a (from the first equation)\r
\n" ); document.write( "\n" ); document.write( "Substituting this value of $\"x\"$ into the 2nd equation we can solve for $\"y\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"7.00x+%2B+4.50%28+24+-+x%29+=+132.96+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"7.00x+%2B+108+-+4.5x=+132.96+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2.5x+%2B+108=132.96+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2.5x+=132.96+-+108\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=24.96%2F2.5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=9.984\"$ .........round to the nearest pounds\r
\n" ); document.write( "\n" ); document.write( " $\"x+=10\"$ \r
\n" ); document.write( "\n" ); document.write( "Putting this value of $\"x\"$ into the eq.1a we can solve for $\"y\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"y+=+24+-+10\"$ .............eq. 1a \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+14+\"$ \r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "Therefore the answer is:\r
\n" ); document.write( "\n" ); document.write( " $\"10\"$ pounds of hazelnut \r
\n" ); document.write( "\n" ); document.write( " $\"14\"$ pounds of peanuts
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