How many pounds of cashews should be mixed with the peanuts to ensure no change in the​ revenue?

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 80 pounds of​ peanuts, the manager decided to mix the

80 pounds of peanuts with some cashews and sell the mixture for $2.00 per pound. How many pounds of cashews should be mixed with the peanuts to ensure no change in the​ revenue?

Answer 1

c represents the amount of cashews

1.50(80) + 4.00c = 2.00(80 + x)

120 + 4c = 160 + 2c

2c = 40

c = 20