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
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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) (Show Source): You can put this solution on YOUR website!
half = 1/2 = .5
Answer by solver91311(24713) (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:
\ =\ 1.7)
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
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