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Problem of the Week 5

Directions: Billy Bob owns a natural foods store which sells cashews for $\$$4.50 per pound and pecans for $\$$9.00 per pound. Billy Bob wants to make a 50 lb mix of cashews and pecans which sells for $\$$6.00 per pound, but he doesn't know how much of each to add. Write a letter to Billy Bob explaining how to calculate how many pounds of cashews and how many pounds of pecans he should mix to make a 50-lb mixture costing $\$$6.00 per pound. Round your answer to the nearest tenth.

Hint: the total dollar value of the nuts is the same before and after mixing; this is important for determining an equation you can solve. .

As always, your explanation must be well-written, and all mathematical notation must used perfectly.