Question

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?

Answer 1

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