SOLUTION: A store sells cashews for $5.30 per pound and peanuts for $1.60 per pound. The manager decides to mix 10 pounds of peanuts with some cashews and sell the mixture for $3.30 per po

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Question 945659: A store sells cashews for $5.30 per pound and peanuts for $1.60 per pound. The manager decides to mix 10 pounds of peanuts with some cashews and sell the mixture for $3.30 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately?
Round your answer to one decimal place.
Found 2 solutions by josgarithmetic, TimothyLamb:
Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website!
Very routine price mixture problem. Your examples is one of the simple two-parts kind, and these all work the same. The concentration is "dollars per pound".

Mixture: one material quantity unknown
http://www.algebra.com/my/Two-Part-Mixture-with-one-material-quantity-unknown.lesson?content_action=show_dev

Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website!
x = pounds of cashews
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5.30x + 1.60*10 = 3.30*(x + 10)
5.30x + 1.60*10 = 3.30x + 3.30*10
5.30x - 3.30x = 3.30*10 - 1.60*10
(5.30 - 3.30)x = 3.30*10 - 1.60*10
x = (3.30*10 - 1.60*10)/(5.30 - 3.30)
(3.30*10 - 1.60*10)/(5.30 - 3.30)
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