SOLUTION: how many pounds of peanuts worth $.60 per pound should be mixed with 27 pounds of cashews worth $.90 per pound to create a 45 pound mixture worth $.78 per pound

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Question 872801: how many pounds of peanuts worth $.60 per pound should be mixed with 27 pounds of cashews worth $.90 per pound to create a 45 pound mixture worth $.78 per pound
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Price ---------------- quantity
peanuts 0.6 ---------------- x lbs
cashew 0.90 ------ 45 - x lbs
Mixture 0.78% ---------------- 45
Total 45 lbs
0.6 x + 0.9 ( 45 - x ) = 35.1
0.6 x + 40.5 - 0.9 x = 35.1
0.6 x - 0.9 x = 35.1 - -40.5
-0.3 x = -5.4
/ -0.3
x = 18 lbs $0.60 peanuts
27 lbs $0.90 cashew

m.ananth@hotmail.ca