To determine the correct equation that can be used to find the initial amount of money [tex]\(c\)[/tex] that Sammie had in her account before she took out [tex]$25, we need to follow these steps:
1. Understand the problem statement:
- Sammie had some amount of money in her checking account initially, which we will call \(c\).
- She then took out $[/tex]25 from her checking account.
- After she took out the money, she had [tex]$100 remaining in her account.
2. Determine the equation:
- This means if you start with \(c\) dollars and subtract $[/tex]25 from it, you should be left with [tex]$100.
- Mathematically, this can be represented by the equation:
\[
c - 25 = 100
\]
3. Solve for \(c\):
- To find the initial amount \(c\), we need to isolate \(c\) on one side of the equation. Start by adding $[/tex]25 to both sides of the equation:
[tex]\[
c - 25 + 25 = 100 + 25
\][/tex]
Simplifying this, we get:
[tex]\[
c = 125
\][/tex]
Therefore, the equation that can be used to find the initial amount [tex]\(c\)[/tex] Sammie had in her account is:
[tex]\[
c - 25 = 100
\][/tex]
