Calculate Total Boxes: Multiply 6½ Average by 10 Shelves

To solve this problem, we will follow a series of logical steps:

• Step 1: Identify the given information
• Step 2: Convert the mixed number to a decimal or improper fraction
• Step 3: Use the appropriate formula to calculate the total number of boxes

Let's work through these steps:

Step 1: We know there are 10 shelves and the average number of boxes per shelf is $6\frac{1}{2}$.

Step 2: Convert $6\frac{1}{2}$ to an improper fraction or decimal for calculation. As an improper fraction, it becomes $\frac{13}{2}$, and as a decimal, it is $6.5$.

Step 3: Using the formula:

$\text{Total number of boxes} = \text{Average} \times \text{Number of shelves}$

Substituting the values, we get:

$\text{Total number of boxes} = 6.5 \times 10$

Perform the multiplication:

$6.5 \times 10 = 65$

Therefore, the total number of boxes in the warehouse is $65$.