Given
Total pound coffee create = 70
Find
How many pounds of each kind of coffee should they mix?
Explanation
Let x = pounds of Queen City coffee blend
y = pounds of Kona Blend.
accordig to the question ,
the new mix is 70 pounds
so , x + y = 70 ..................(1)
and sells for $ 8.65 per pound
so , 8.30x + 13.20y = 70*8.65.............(2)
solve equation 1 and 2
[tex]\begin{gathered} x+y=70 \\ 8.30x+13.20y=605.5 \end{gathered}[/tex]on solving these linear equation , we obtain
[tex]x=65,y=5[/tex]Final Answer
Therefore , 65 pounds of the Queen City Blend and 5 pounds of the Kona Blend.