Question

A warehouse worker loads a cart with 10 boxes. The boxes have an average weight of 22 pounds. The worker picks up a new box and puts it on the cart. Now the average weight of the boxes is 23 pounds.

What is the weight of the new box? Round your answer to the nearest whole pound.

Answer 1

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.