A nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound. But at the end of the month the peanuts had not sold well, so, in order to sell 60 pounds of peanuts, the manager decided to mix the 60 pounds of peanuts with some cashews and sell the mixture for $ 2.50 per pound. How many pounds of cashews should be mixed with the peanuts to ensure no change in the revenue?

Question

11-03-2020
Mathematics

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A nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound. But at the end of the month the peanuts had not sold well, so, in order to sell 60 pounds of peanuts, the manager decided to mix the 60 pounds of peanuts with some cashews and sell the mixture for $ 2.50 per pound. How many pounds of cashews should be mixed with the peanuts to ensure no change in the revenue?

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Favouredlyf Favouredlyf · Answer 1 · 2020-03-11T16:09:12+01:00

Answer: 40 pounds of cashews should be mixed with the peanuts to ensure no change in the revenue

Step-by-step explanation:

Let x represent the number of pounds of cashews that should be mixed with the peanuts to ensure no change in the revenue.

The nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound.

In order to sell 60 pounds of peanuts, the manager decided to mix the 60 pounds of peanuts with some cashews and sell the mixture for $2.50 per pound. It means that

4x + (1.5 × 60) = 2.5(60 + x)

4x + 90 = 150 + 2.5x

4x - 2.5x = 150 - 90

1.5x = 60

x = 60/1.5

x = 40