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The average weight of 25 boxes in a boat is increased by 2 kg when one of the boxes weighing 68 kg is replaced by a new box.
The weight (in kg) of the new box is:
70
118
132
97
- The average weight increase is 2 kg for 25 boxes, so the total weight increase is 25 x 2 = 50 kg.
- The new total weight is the old total weight + 50 kg.
- The old total weight is 25 boxes x old average weight.
- One box weighing 68 kg is replaced.
- Assuming there is an old average weight of \(X\), the equation is \(25X + 50 = 25(X + 2)\).
- The new box's weight is the old weight minus the replaced box weight plus the 50 kg.
- Replacing results in \(25X + 50 - 68 + \text{new box} = 25(X + 2)\).
- The new box weight calculation: 68 + 50 = 118 kg.
- Option 2: 118 is the correct answer.
By: santosh ProfileResourcesReport error
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