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My grandmother needs to find the best company to deliver a package. Company A charges a fee of plus per pound. Company B charges a fee of plus per pound. At what weight will the companies charge the same amount and what is the equivalent cost?=+=+
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Q. My grandmother needs to find the best company to deliver a package. Company A charges a fee of plus per pound. Company B charges a fee of plus per pound. At what weight will the companies charge the same amount and what is the equivalent cost?=+=+
- Identify Cost Equations: Identify the cost equations for both companies.Company A's cost: Company B's cost: where is the weight of the package in pounds.
- Set Equations Equal: Set the two cost equations equal to each other to find the weight at which the costs are the same.
- Solve for Weight: Solve for by isolating the variable on one side.
- Verify Solution: Verify that the weight makes sense in the context of the problem.Since the weight is a positive number, it is a valid solution.
- Calculate Equivalent Cost: Calculate the equivalent cost for the weight found.
- Check Cost Equality: Check if the costs calculated for both companies are indeed the same.Since both and equal , the costs are the same.
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