SOLUTION: how many pounds of peanuts at php 80.00 per pound should be added to 200 pounds of cashew nuts at php 200.00 per pound of the mixture is to be worth php 120.00 per pound?

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Question 547077: how many pounds of peanuts at php 80.00 per pound should be added to 200 pounds of cashew nuts at php 200.00 per pound of the mixture is to be worth php 120.00 per pound?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = pounds of peanuts needed
given:
+80x+ = cost of peanuts used
+200%2A200+=+40000+ = cost of cashew nuts used
+x+%2B+200+ = pounds of mixture used
---------------------------------
+%28+80x+%2B+40000+%29+%2F+%28+x+%2B+200+%29+=+120+
+80x+%2B+40000+=+120%2A%28+x+%2B+200+%29+
+80x+%2B+40000+=+120x+%2B+24000+
+120x+-+80x+=+40000+-+24000+
+40x+=+16000+
+x+=+400+
400 pounds of peanuts are needed
check answer:
+%28+80%2A400+%2B+40000+%29+%2F+%28+400+%2B+200+%29+=+120+
+%28+32000+%2B+40000+%29+%2F+600+=+120+
+72000+%2F+600+=+120+
+72000+=+120%2A600+
+72000+=+72000+
OK