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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of hazelnuts needed
Let +b+ = pounds of cashews needed
------------------------------------
(1) +a+%2B+b+=+60+
(2) +%28+6.5a+%2B+4.5b+%29+%2F+60+=+5.1+
------------------------------
(2) +6.5a+%2B+4.5b+=+5.1%2A60+
(2) +6.5a+%2B+4.5b+=+306+
(2) +65a+%2B+45b+=+3060+
------------------------
Multiply both sides of (1) by +45+
and subtract (1) from (2)
(2) +65a+%2B+45b+=+3060+
(1) +-45a+-+45b+=+-2700+
--------------------------
+20a+=+360+
+a+=+18+
and since
(1) +a+%2B+b+=+60+
(1) +b+=+42+
18 pounds of hazelnuts are needed
42 pounds of cashews are needed
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check:
You can do the check
Gotta run