A coffee manufacturer wants to market a new blend of coffee that sells for 3 dollars and 90 cents per mixing two coffees that sell for 2 dollars and 75 cents and 5 dollars per pound, respectively. What amount of each coffee should be blended to obtain the desired mixture?

Hint given in textbook:

[Assume that the total weight of the desired blend is 100 pounds.]

My Work:

Let x = 2 dollars and 75 cents per pound

Let (100 - x) = pounds at 5 dollars per pound

My equation is the following:

x(2.75) + 5(100 - x) = 3.90(100)

Correct?