document.write( "Question 520163: John is going to make 13 pounds of mixed nuts for a party. if keil can spend $64.50 on nuts and peanuts cost $2.50 per pound and fancy nuts cost $6.50 pound, how many pounds of each should he buy? \n" ); document.write( "

Algebra.Com's Answer #345945 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = pounds of peanuts
\n" ); document.write( "Let $\"b\"$ = pounds of fancy nuts
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+13+\"$
\n" ); document.write( "(2) $\"+2.5a+%2B+6.5b+=+64.5+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "(2) $\"+25a+%2B+65b+=+645+\"$
\n" ); document.write( "(2) $\"+5a+%2B+13b+=+129+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5a+%2B+13b+=+129+\"$
\n" ); document.write( "(1) $\"+-5a+-+5b+=+-65+\"$
\n" ); document.write( " $\"+8b+=+64+\"$
\n" ); document.write( " $\"+b+=+8+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+13+\"$
\n" ); document.write( "(1) $\"+a+=+5+\"$
\n" ); document.write( "5 pounds of peanuts are needed
\n" ); document.write( "8 pounds of fancy nuts are needed \n" ); document.write( "

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