Almonds cost fiver per pound and cashews cost nine per pound. How many pounds of almonds should be mixed with the cashews to make 10 pounds of a mix that sells for eight dollars per pound?

If there are x lbs of cashews, then the rest (10-x) are almonds. So, add up the costs:

9x + 5(10-x) = 8(10)

2.5

7.5

To find out how many pounds of almonds should be mixed with cashews, we can set up a system of equations based on the given information.

Let's assume x pounds of almonds need to be mixed with cashews to make 10 pounds of the mixture.

The cost of almonds per pound is $5, so the cost of x pounds of almonds would be 5x dollars.
The cost of cashews per pound is $9, so the cost of (10 - x) pounds of cashews would be 9(10 - x) dollars.

Since the mixture sells for $8 per pound, the total cost of the mixture would be 10 * 8 = 80 dollars.

Now we can set up the equation:

5x + 9(10 - x) = 80

Simplifying this equation:

5x + 90 - 9x = 80

-4x + 90 = 80

Subtracting 90 from both sides:

-4x = -10

Dividing by -4:

x = 2.5

Therefore, 2.5 pounds of almonds should be mixed with cashews to make 10 pounds of the mixture that sells for $8 per pound.