Answer:
We need to add 7 pounds of $9.5 premium coffee to make a blend of coffee that $10.
Step-by-step explanation:
Lets take the amount of $9.50 coffee added was [tex]x[/tex] pounds.
The requirement is that the value of 1 pound of resulting mixture of coffee to be $10.
We can use the weighted average value to find the value of the resulting mixture.
⇒[tex]\frac{(9.5*x)+(11.75*2)}{(x+2)} =10[/tex]
=[tex](9.5*x)+(23.5)=10(x+2)[/tex]
=[tex]9.5x+23.5=10x+20[/tex]
=[tex]3.5=0.5x[/tex]
=[tex]x=7[/tex]
So we need to add 7 pounds of $9.5 premium coffee to make a blend of coffee that $10.
