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An overnight mail service charges $5.10 for the first 6 oz and $0.75 for each additional ounce. What is the weight, in ounces, of a package that costs $14.10 to deliver?

1 Answer

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Final answer:

To find the weight of a package costing $14.10 to deliver, subtract the base cost for the first 6 oz from the total cost, and then divide the remainder by the cost per additional ounce. After calculations, the total weight of the package is determined to be 18 ounces.

Step-by-step explanation:

The student has asked a question related to determining the weight of a package based on the shipping cost using the rates provided by an overnight mail service. To find the weight of the package that costs $14.10 to deliver, one would subtract the cost for the first 6 ounces from the total cost and then divide the remainder by the cost per additional ounce. The mail service charges $5.10 for the first 6 ounces and $0.75 for each additional ounce.

First, determine the cost of the additional weight beyond the first 6 ounces:

  • Total cost - Cost for the first 6 oz = Additional weight cost
  • $14.10 - $5.10 = $9.00

Next, divide the additional weight cost by the cost per additional ounce to find out how many extra ounces there are:

  • Additional weight cost ÷ Cost per additional ounce = Additional ounces
  • $9.00 ÷ $0.75 = 12 ounces

Finally, add the additional ounces to the first 6 ounces:

  • 6 ounces + 12 ounces = 18 ounces

Thus, the weight of the package is 18 ounces.

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