Let's break down the problem step-by-step to find the number of units sold for May.
1. Identify the given information for May:
- Beginning Inventory: [tex]\(6500\)[/tex] units
- Purchases: [tex]\(5000\)[/tex] units
- Ending Inventory: We can infer the ending inventory for May from the beginning inventory of June. Given that the beginning inventory for June is [tex]\(4000\)[/tex] units, the ending inventory for May is also [tex]\(4000\)[/tex] units.
2. Apply the inventory equation:
[tex]\[
\text{Ending Inventory} = \text{Beginning Inventory} + \text{Purchases} - \text{Units Sold}
\][/tex]
3. Rearrange the equation to solve for Units Sold:
[tex]\[
\text{Units Sold} = \text{Beginning Inventory} + \text{Purchases} - \text{Ending Inventory}
\][/tex]
4. Substitute the given values into the equation:
[tex]\[
\text{Units Sold} = 6500 + 5000 - 4000
\][/tex]
5. Perform the calculation:
[tex]\[
\text{Units Sold} = 6500 + 5000 - 4000 = 11500 - 4000 = 7500
\][/tex]
Therefore, the number of units sold for May is [tex]\(\boxed{7500}\)[/tex].
