To determine how many boxes of prescription bottle labels were used, follow these steps:
1. Identify Total Initial Boxes:
The initial number of boxes of prescription bottle labels is given as 125.
2. Identify Remaining Boxes:
We are told there were [tex]\(25 \frac{3}{4}\)[/tex] boxes left. First, let's convert the mixed number to an improper fraction or a decimal for easier manipulation. [tex]\(25 \frac{3}{4}\)[/tex] can be written as [tex]\(25 + 0.75\)[/tex], which is 25.75.
3. Calculate Boxes Used:
The number of boxes used can be found by subtracting the number of boxes remaining from the initial number of boxes.
[tex]\[
\text{Boxes Used} = \text{Initial Boxes} - \text{Remaining Boxes}
\][/tex]
Plug in the given numbers:
[tex]\[
125 - 25.75 = 99.25
\][/tex]
So, a total of 99.25 boxes of prescription bottle labels were used during the inventory cycle.
To summarize:
- Initial boxes: 125
- Remaining boxes: 25.75
- Boxes used: [tex]\(125 - 25.75 = 99.25\)[/tex]
Therefore, the number of boxes used is [tex]\( \boxed{99.25} \)[/tex].
