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

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

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.

⇒
`((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.