Question

A coffee distributor needs to mix a(n) House coffee blend that normally sells for $13.20 per pound with a Rift Valley coffee blend that normally sells for $14.40 per pound to create 60 pounds of a coffee that can sell for $13.96 per pound. How many pounds of each kind of coffee should they mix

Answer 1

Quantity of House coffee blend = 22 pound

Quantity of Rift Valley coffee blend = 38 pound

Step-by-step explanation:

Given:

Quantity of House coffee blend = x

Amount of House coffee blend = $13.20 pound

Quantity of Rift Valley coffee blend = y

Amount of Rift Valley coffee blend = $14.40 pound

Total quantity = 60 pound

Sell price = $13.96 per pound

Find:

Quantity of House coffee blend

Quantity of Rift Valley coffee blend

Computation:

x + y = 60 ........Eq1

And,

13.20 x + 14.40 y = 13.96(60)

13.20 x + 14.40 y = 837.6.........Eq2

from Eq2 and Eq1

y = 38

and x = 60 - 38 = 22

Quantity of House coffee blend = 22 pound

Quantity of Rift Valley coffee blend = 38 pound