SOLUTION: 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 c

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: 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 c      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = pounds of macadamia nuts she needs
In words:
( total cost of nuts) / ( pounds of nuts ) = cost per pound
given:
+%28+9x+%2B+5%2A50+%29+%2F+%28+x+%2B+50+%29+=+6.5+
+9x+%2B+250+=+6.5%2A%28+x+%2B+50+%29+
+9x+%2B+250+=+6.5x+%2B+325+
+2.5x+=+75+
+x+=+30+
30 pounds of macadamia nuts are needed
check:
+%28+9x+%2B+5%2A50+%29+%2F+%28+x+%2B+50+%29+=+6.5+
+%28+9%2A30+%2B+5%2A50+%29+%2F+%28+30+%2B+50+%29+=+6.5+
+%28+270+%2B+250+%29+%2F+80+=+6.5+
+520%2F80+=+6.5+
+520+=+520+
OK