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.