SOLUTION: A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 per pou

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Question 79928This question is from textbook Mathematics An Applied Approach
: A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 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? This question is from textbook Mathematics An Applied Approach

Answer by Domtone(2) About Me  (Show Source):
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(pounds of peanuts)(price per pound of peanuts) + (pounds of cashews)(price per pound of cashews) = (total pounds)(price per pound)
Everything is given except the the pounds of cashews, so we also don't know the total pounds.
If you let the pounds of cashews be x, then the total pounds will be x + 30.
30(1.50) + x(5.00) = (30 + x)(3.00)
45 + 5x = 3x + 90
2x = 45
x = 22.5
There must be 22.5 pounds of cashews mixed with the 30 pounds of peanuts.