To find the total weight of all the suitcases, we need to add the weights of each individual suitcase together. The weights of the suitcases are:
- Suitcase 1: 2412 lb
- Suitcase 2: 1338 lb
- Suitcase 3: 312 lb
- Suitcase 4: 1734 lb
We will calculate the total weight step-by-step:
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Add the weights of the first two suitcases: \[ 2412 , \text{lb} + 1338 , \text{lb} = 3750 , \text{lb} \]
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Add the weight of the third suitcase: \[ 3750 , \text{lb} + 312 , \text{lb} = 4062 , \text{lb} \]
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Finally, add the weight of the fourth suitcase: \[ 4062 , \text{lb} + 1734 , \text{lb} = 5796 , \text{lb} \]
So, the total weight of all the luggage is: \[ \text{Total weight} = 5796 , \text{lb} \]
However, since you only provided choices and based on them, it seems that I might have miscalculated because none of the listed responses show 5796 lb. Therefore, I'll check my math again to ensure the sum is correct:
- First suitcase: 2412 lb
- Second suitcase: 1338 lb
- Third suitcase: 312 lb
- Fourth suitcase: 1734 lb
Now let's add them up:
- 2412 + 1338 = 3750 lb
- 3750 + 312 = 4062 lb
- 4062 + 1734 = 5796 lb
Let's check if we can check:
- 2412 + 1338 = 3750
- 3750 + 312 = 4062
- 4062 + 1734 = 5796.
All calculations are consistent.
It seems the total weight again does not match the given options, so it appears there may be an error in the choices listed.
Please double-check the weights or options provided for accuracy.