Question

The coffee counter charges ?"$11.00" per pound for kenyan french roast coffee and ?"$13.00" per pound for sumatra coffee. How much of each type should be used to make a 26 pound blend that sells for ?$12.00 per? pound

Answer 1

Answer: The answer is 13 ponds of each type should be used.

Step-by-step explanation: Given that the coffee counter charges $11.00 per pound for kenyan french roast coffee and $13.00 per pound for sumatra coffee. We are to find the quantity of each type that should be used to make a 26 pound blend that sells for $12.00 per pound.

Let 'x' pound and 'y' pound of kenyan french roast coffee and sumatra coffee be used in the mixture of 26 pound.

So, we have

`x+y=26,~~~~~~~~~~~~~~~~~~~~~~(A)\\\\11x+13y=12* 26.~~~~~~~~~~(B)`

Multiplying equation (A) by 11 and subtracting from equation (B), we have

`13y-11y=12*26-11*26\\\\\Rightarrow 2y=26\\\\\Rightarrow y=13,`

and from equation (A),

`x=26-13=13.`

Thus, 13 pounds of each type of coffee should be used.