Given:
Antigua coffee sells for $8.30/lb
House coffee sells for $10.80/lb
Let the lb of Antigua coffee and house coffee be x and y respectively.
Since we created 60 lb of the new coffee, we have the relationship:
[tex]x\text{ + y = 60}[/tex]The cost of the new coffee is $ 9.76/lb. We have the relationship:
[tex]\begin{gathered} 8.3x\text{ + 10.8y = 9.76}\times60 \\ 8.3x\text{ + }10.8y\text{ = 585.6} \end{gathered}[/tex]Solving the equations below simultaneously:
[tex]\begin{gathered} x\text{ + y = 60} \\ 8.3x\text{ + 10.8y = 585.6} \end{gathered}[/tex]By graphical method:
We notice that the solution to the simultaneous equation is:
(25, 35).
Hence, we can conclude that they should mix 25 lb of Antigua coffee and 35 lb of house coffee.
Answer:
Antigua = 25 lb
House = 35 l
