Solve the following division problem: 6 T 284 lb \div 3,071
Select one of four:
A. 3 lb
B. 2 lb
C. 4 lb
D. 5 lb
Answer (2)
Convert tons to pounds: 6 T = 12000 lb .
Add the remaining pounds: 12000 lb + 284 lb = 12284 lb .
Divide the total pounds by 3071: 3071 12284 = 4 .
The result of the division is 4 lb .
Explanation
Understanding the Problem We are given a division problem involving units of tons (T) and pounds (lb). We need to divide 6 T 284 lb by 3071. The answer should be in pounds (lb). We know that 1 ton (T) = 2000 pounds (lb).
Converting Units and Setting up the Division First, let's convert 6 tons to pounds using the conversion factor 1 T = 2000 lb: 6 T = 6 × 2000 lb = 12000 lb Then, we add the result to the existing 284 lb: 12000 lb + 284 lb = 12284 lb Now, we divide the total pounds by 3071: 3071 12284 lb = x lb
Performing the Division Performing the division, we find that: 3071 12284 = 4 Therefore, x = 4 lb.
Final Answer The result of the division is 4 lb.
Examples
Imagine you're distributing grain equally among several families. This problem helps you calculate how many pounds each family receives when you start with a certain amount measured in tons and pounds. Understanding unit conversions and division ensures fair and accurate distribution of resources. This is useful in logistics, resource management, and even in everyday tasks like dividing food portions.
After converting 6 T 284 lb to pounds and dividing by 3,071, the final result is 4 lb. Thus, the correct answer is C. 4 lb.
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