Question

A store sells cashews for $ 4.00 per pound and peanuts for $ 1.50 per pound. The manager decides to mix 40 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 so that the mixture will produce the same revenue as would selling the nuts​ separately?

Answer 1

There must be 22.5 pounds of cashews mixed with the 30 pounds of peanuts.

Step-by-step explanation:

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.