Answer:

Step-by-step explanation:
Given



Required
PQ
Since Q is between the given points, then:

This gives:

Collect like terms


Next, solve for x
We have:


This gives:

Collect like terms


Divide by 2

So:



Answer:
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Step-by-step explanation:
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

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

and from equation (A),

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