Question

how many pounds of premium coffee beans thats $9.50 pounds should be mixed with 2 pounds of supreme coffee thats $11.75 pounds to make the blend coffee that's 10.00 pounds

Answer 1

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 $x$ 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.

⇒$\frac{(9.5*x)+(11.75*2)}{(x+2)} =10$

=$(9.5*x)+(23.5)=10(x+2)$

=$9.5x+23.5=10x+20$

=$3.5=0.5x$

=$x=7$

So we need to add 7 pounds of $9.5 premium coffee to make a blend of coffee that $10.