SOLUTION: this problem is giving me a headache because i don't know one part of the equation. The owner of Nuts2U Snack Shack mixes cashews worth $6.00 a pound with peanuts worth $2.20 a

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: this problem is giving me a headache because i don't know one part of the equation. The owner of Nuts2U Snack Shack mixes cashews worth $6.00 a pound with peanuts worth $2.20 a      Log On


   

Question 334895: this problem is giving me a headache because i don't know one part of the equation.
The owner of Nuts2U Snack Shack mixes cashews worth $6.00 a pound with peanuts worth $2.20 a pound to get a half-pound mixed nut bag worth $1.70. How much of each nut is included in the mixed bag? round answer to two decimals.
Now i understand how to set up the problem: c+p= half-pound and 6.00c + 2.20p=1.70, i just don't know what a "half-pound" is. i've tried many variations and it's driving me crazy. please help.
Found 2 solutions by scott8148, solver91311:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
half = 1/2 = .5

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the weight of the cashews in the mix. Then, since the mix weighs a half-pound, the weight of the peanuts in the mix must be .

The cost of pounds of cashews is dollars and the cost of pounds of peanuts is dollars.

The cost of the cashews in the mix plus the cost of the peanuts in the mix equals the cost of the mix:



Solve for to get the weight of the cashews, then subtract from 0.5 to get the weight of the peanuts.

John

My calculator said it, I believe it, that settles it