Answer: The weight of the new box is 33 pounds.
Explanation: Let's assume the weight of the new box is "x" pounds.
Initially, the total weight of the 10 boxes is 10 * 22 = 220 pounds.
After adding the new box, the total weight becomes (10 * 22) + x.
The average weight is given by the total weight divided by the number of boxes. In this case, it is (10 * 22 + x) / 11.
According to the problem, the new average weight is 23 pounds. Therefore, we can set up the following equation:
(10 * 22 + x) / 11 = 23
Now, we can solve for "x":
10 * 22 + x = 11 * 23
220 + x = 253
x = 253 - 220
x = 33
Therefore, the weight of the new box is 33 pounds.