document.write( "Question 485684: A nut wholesaler sells a mix of nuts and cashews. the wholesaler charges 2.65 per pound for nuts and 4.90 per pound for cashews.the mix is to sell for 3.28 per pound. how many pounds of nuts and how many pounds of cashews should be used to make 125 pounds of mix \n" ); document.write( "

Algebra.Com's Answer #332137 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+n+\"$ = pounds of nuts to be used
\n" ); document.write( "Let $\"+c+\"$ = pounds of cashews to be used
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+n+%2B+c+=+125+\"$
\n" ); document.write( "(2) $\"+2.65n+%2B+4.9c+=+3.28%2A125+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "Multiply both sides of (2) by $\"+100+\"$
\n" ); document.write( "(2) $\"+265n+%2B+490c+=+41000+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+265+\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"+265n+%2B+490c+=+41000+\"$
\n" ); document.write( "(1) $\"+-265n+-+265c+=+-33125+\"$
\n" ); document.write( " $\"+225c+=+7875+\"$
\n" ); document.write( " $\"+c+=+35+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+c+=+125+\"$
\n" ); document.write( "(1) $\"+n+%2B+35+=+125+\"$
\n" ); document.write( "(1) $\"+n+=+90+\"$
\n" ); document.write( "90 pounds of nuts are to be used
\n" ); document.write( "35 pounds of cashews are to be used
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+2.65n+%2B+4.9c+=+3.28%2A125+\"$
\n" ); document.write( "(2) $\"+2.65%2A90+%2B+4.9%2A35+=+3.28%2A125+\"$
\n" ); document.write( "(2) $\"+238.5+%2B+171.5+=+410+\"$
\n" ); document.write( "(2) $\"+410+=+410+\"$ \n" ); document.write( "

\n" );