SOLUTION: A grocer wants to mix peanuts worth $2.50 per pound with 12 pounds of cashews worth $4.75 per pound. To obtain a nut mixture worth $4 per pound, how many pounds of peanuts are need

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Question 354035: A grocer wants to mix peanuts worth $2.50 per pound with 12 pounds of cashews worth $4.75 per pound. To obtain a nut mixture worth $4 per pound, how many pounds of peanuts are needed?
Found 2 solutions by sofiyac, mananth:
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of pounds of peanuts.
2.50x%2B4.75%2A12=4%28x%2B12%29 simplify
2.50x%2B57=4x%2B48 subtract 2.50x from each side, you get
57=4x-2.50x%2B48
57=1.50x%2B48 subtract 48 from each side
57-48=1.50x
9=1.50x divide both sides by 1.5
6=x So you need 6 pounds of peanuts.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
peanuts worth $2.50 per pound x lbs
cashews worth $4.75 per pound 12 lbs.
Mixture worth $4 per pound, (x+12) lbs
...
2.5x+4.75*12=4(x+12)
2.5x+57=4x+48
4x-2.5x=57-48
1.5x=9
x=9/1.5
x=6 lbs of peanuts
...
m.ananth@hotmail.ca