Answer this and explain: A store sells cashews for $5.00 per pound and peanuts f

Question

Answer this and explain:

A store sells cashews for $5.00 per pound and peanuts for $2.50 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?


There should be how many pounds of cashews in the mixture? (Answer should be an integer or decimal)

Explanation / Answer

Given all of these, let x be the pounds of cashews, and the total pounds will be x + 30 Then, you can express as : 30(2.50) + x(5.00) = (30 + x)(3.00) ==> 75 + 5x = 90 + 3x ===> 2x = 15, x = 7.5 lb is the pounds of cashews

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