SOLUTION: We are solving word problems using system of equations in my Algebra II class right now. The problem says: "Jackie wants to make a mixture of nuts to sell in her store consis

Question 915151: We are solving word problems using system of equations in my Algebra II class right now.
The problem says:
"Jackie wants to make a mixture of nuts to sell in her store consisting of hazelnuts and cashews. Hazelnuts cost $6.50 per pound and cashews cost $4.50 per pound. If Jackie wants 60 pounds of total mixture and the cost to be $5.10 per pound, how many pounds of each will she need?"
Reading this, I'm completely clueless as to how to set up my two equations. Once I have the equations I can solve it pretty easily but I have no clue how to set up the equations.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of hazelnuts needed
Let = pounds of cashews needed
------------------------------------
(1)
(2)
------------------------------
(2)
(2)
(2)
------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
--------------------------

and since
(1)
(1)
18 pounds of hazelnuts are needed
42 pounds of cashews are needed
--------------
check:
You can do the check
Gotta run

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