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A pickup truck carrying identical weighs pounds. If the empty truck weighs ​pounds, what is the weight of each ​? Explain how to solve the problem.

Select the correct choice below and fill in the answer box to complete your choice.
​(Type a whole number or a​ decimal.)
A.
​First, find the weight of the by subtracting the weight of the empty truck from its current weight.​ Then, multiply the weight of the by . ​So, each weighs
------- ​pound(s).
B.
​First, find the weight of the by subtracting the weight of the empty truck from its current weight.​ Then, divide the weight of the by . ​So, each weighs
-------- ​pound(s).
C.
​First, find the weight of the by adding the weight of the empty truck and its current weight.​ Then, divide the weight of the by . ​So, each weighs
------ ​pound(s).
D.
​First, find the weight of the by adding the weight of the empty truck and its current weight.​ Then, multiply the weight of the by . ​So, each weighs
------ ​pound(s).

1 Answer

1 vote

Final answer:

To find the weight of each item in a loaded truck, subtract the weight of the empty truck from the current total weight to get the weight of the items, then divide by the number of items. Choice B describes the correct procedure for solving the weight distribution problem.

Step-by-step explanation:

The correct way to find the weight of each item in the truck is to first subtract the weight of the empty truck from the truck's current weight when loaded with identical items. This gives you the combined weight of the items. Next, you divide this number by the number of items to find the weight of each individual item.

Choice B is the correct option, which can be described as follows:

  • First, find the weight of the items by subtracting the weight of the empty truck from its current weight.
  • Then, divide the weight of the items by the number of items.
  • So, each item weighs ------- pound(s).

For example, if a truck carrying items weighs 6,200 pounds and the empty truck weighs 2,000 pounds, the weight of all items combined is 6,200 - 2,000 = 4,200 pounds. If there are 20 identical items, then each item weighs 4,200 ÷ 20 = 210 pounds.

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