The average weight of 50 balls is 2 lbs. If the weight of the container be included, the average weight will increase by 0.05 lbs. The weight of the container is:

Options

A. 7.34 lbs
B. 4.55 lbs
C. 3.22 lbs
D. 6.34 lbs

Answer

To solve the problem step by step, we need to find the weight of the container based on the information given about the average weight of the balls and how it changes when the container is included.

### Step 1: Calculate the total weight of the 50 balls.
The average weight of the 50 balls is given as 2 lbs. The total weight can be calculated using the formula:

\[ \text{Total Weight of Balls} = \text{Average Weight} \times \text{Number of Balls} \]

Substituting the values:

\[ \text{Total Weight of Balls} = 2 \text{ lbs} \times 50 = 100 \text{ lbs} \]

### Step 2: Determine the new average weight when the container is included.
When the weight of the container is included, the average weight increases by 0.05 lbs. Therefore, the new average weight is:

\[ \text{New Average Weight} = 2 \text{ lbs} + 0.05 \text{ lbs} = 2.05 \text{ lbs} \]

### Step 3: Calculate the total weight when the container is included.
Now, we need to find the total weight when the container is included. The total number of items (balls + container) is 51 (50 balls + 1 container). We can calculate the total weight using the new average:

\[ \text{Total Weight with Container} = \text{New Average Weight} \times \text{Total Number of Items} \]

Substituting the values:

\[ \text{Total Weight with Container} = 2.05 \text{ lbs} \times 51 = 105.55 \text{ lbs} \]

### Step 4: Find the weight of the container.
To find the weight of the container, we subtract the total weight of the balls from the total weight with the container:

\[ \text{Weight of Container} = \text{Total Weight with Container} - \text{Total Weight of Balls} \]

Substituting the values:

\[ \text{Weight of Container} = 105.55 \text{ lbs} - 100 \text{ lbs} = 5.55 \text{ lbs} \]

### Final Answer:
The weight of the container is **5.55 lbs**.

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