How many pounds of each kind of coffee should they mix?

Question

A coffee distributor needs to mix a(n) Terraza coffee blend that normally sells for $10.40 per pound with a Kenya coffee blend that normally sells for $14.50 per pound to create 20 pounds of a coffee that can sell for $11.84 per pound. How many pounds of each kind of coffee should they mix?

Answer: They must mix 

__________ pounds of the Terraza Blend 

___________ pounds of the Kenya Blend.

Answer 1

Let x = number of pounds of Terraza. Then 20 - x = number of pounds of Kwnya

So, 10.4x + 14.5(20-x) = 11.84(20)

Solve for x.