If you get mixed nuts with cashews that cost $6.25 lb. and if you get mixed nuts with peanuts @ $2.30 lb. But if I just want 1/2 lb. of mixed nuts for $1.70 how much of each would be included? How many lbs. of cashews and how many lbs of peanuts.

Now you can solve what I gave you for x which is the pounds of nuts with cashews.

To solve this problem, we can use a system of equations to represent the given information. Let's denote the number of pounds of cashews as 'c' and the number of pounds of peanuts as 'p'.

Given:
1) The cost of mixed nuts with cashews is $6.25 per pound. So, the cost of cashews is 6.25c dollars.
2) The cost of mixed nuts with peanuts is $2.30 per pound. So, the cost of peanuts is 2.30p dollars.
3) The total weight of mixed nuts is 1/2 pound, which can be written as 0.5 pounds.
4) The total cost of mixed nuts is $1.70.

From the given information, we can set up the following system of equations:

Equation 1: 6.25c + 2.30p = 1.70 (Combining the costs of cashews and peanuts should equal the total cost of $1.70)
Equation 2: c + p = 0.5 (The total weight of cashews and peanuts should equal 0.5 pounds)

To solve this system of equations, we can use substitution or elimination method.

Let's solve it using the elimination method:

Multiply Equation 2 by -6.25 to get -6.25c - 6.25p = -3.125
Now, add Equation 1 to the new Equation 2:

(6.25c + 2.30p) + (-6.25c - 6.25p) = 1.70 - 3.125
-3.95p = -1.425

Divide both sides by -3.95:
p = -1.425 / -3.95
p ≈ 0.36

Now, substitute the value of p into Equation 2 to find c:

c + 0.36 = 0.5
c ≈ 0.14

Therefore, approximately 0.14 pounds of cashews and 0.36 pounds of peanuts would be included in the 1/2 pound mixed nuts.