document.write( "Question 502167: Paula mixes macadamia nuts that cost $9.00 per pound with 50 lbs of peanuts that cost $5.00 per pound. How many pounds of macadamia nuts should she mix to make a nut mixture that costs $6.50 per pound? \n" ); document.write( "

Algebra.Com's Answer #338780 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+m+\"$ = pounds of macadamia nuts she needs
\n" ); document.write( "In words:
\n" ); document.write( "( total cost of nuts) / ( pounds of nuts ) = cost per pound
\n" ); document.write( "given:
\n" ); document.write( " $\"+%28+9x+%2B+5%2A50+%29+%2F+%28+x+%2B+50+%29+=+6.5+\"$
\n" ); document.write( " $\"+9x+%2B+250+=+6.5%2A%28+x+%2B+50+%29+\"$
\n" ); document.write( " $\"+9x+%2B+250+=+6.5x+%2B+325+\"$
\n" ); document.write( " $\"+2.5x+=+75+\"$
\n" ); document.write( " $\"+x+=+30+\"$
\n" ); document.write( "30 pounds of macadamia nuts are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+9x+%2B+5%2A50+%29+%2F+%28+x+%2B+50+%29+=+6.5+\"$
\n" ); document.write( " $\"+%28+9%2A30+%2B+5%2A50+%29+%2F+%28+30+%2B+50+%29+=+6.5+\"$
\n" ); document.write( " $\"+%28+270+%2B+250+%29+%2F+80+=+6.5+\"$
\n" ); document.write( " $\"+520%2F80+=+6.5+\"$
\n" ); document.write( " $\"+520+=+520+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );