SOLUTION: the owner of a home decorating shop wants to mix dried rose petals selling for $6.00 per pound, dried lavender selling for $5.00 per pound, and buckwheat hulls selling for $4.00 pe

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Question 712581: the owner of a home decorating shop wants to mix dried rose petals selling for $6.00 per pound, dried lavender selling for $5.00 per pound, and buckwheat hulls selling for $4.00 per pound to get 10 pounds of a mixture that would sell for $5.50 per pound. How many pounds of each should she use?
This is what i got so far: (Not sure if right)
R=Rose patels
L=Lavender
B=Buckwheat hulls
6R+5L+4B=10(5.50)
2R=L
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Your beginning seems good. The given information can let us set two equations: one for cost (or price?) and one for pounds.

For price of mix, , dollars per pound.
For poundage sum, , pounds.

The information so far given is enough to make the question open, with more than one solution result. If you are expected to give one fundamental solution, then you must have additional information. You only have two equations but THREE unknown variables.

The current system allows you to eliminate and solve for any two of the variables, but their solutions must be in terms of the remaining variable. So which variable you want as free, is your decision. How do you want to continue next?
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