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Sammie took [tex]$\$[/tex]25[tex]$ out of her checking account. After taking the money out of her account, she had $[/tex]\[tex]$100$[/tex] remaining. Which equation can be used to find the amount, [tex]$c$[/tex], Sammie had in her account before she took the money out?

A. [tex]$c \times 25 = 100$[/tex]
B. [tex]$c - 25 = 100$[/tex]
C. [tex]$c \div 25 = 100$[/tex]
D. [tex]$c + 25 = 100$[/tex]

Answer :

Sure! Let's solve this step-by-step.

1. Understand the problem:
- Sammie took [tex]$25 out of her checking account.
- After taking the $[/tex]25 out, she had [tex]$100 remaining.
- We need to find the amount of money, \( c \), she had in her account before she took out the $[/tex]25.

2. Set up the equation:
- Let's use [tex]\( c \)[/tex] to represent the amount Sammie had in her account before taking out the [tex]$25.
- If she took $[/tex]25 out, we subtract [tex]$25 from \( c \).
- After taking out $[/tex]25, she had [tex]$100 left.

Thus, the equation is:
\[
c - 25 = 100
\]

3. Solve for \( c \):
- To find \( c \), we need to isolate \( c \) on one side of the equation.
- We do this by adding 25 to both sides of the equation:
\[
c - 25 + 25 = 100 + 25
\]
Simplifying this, we get:
\[
c = 125
\]

Therefore, Sammie had $[/tex]125 in her account before she took the $25 out.

The correct equation from the given options is:
[tex]\[
c - 25 = 100
\][/tex]

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