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Sammie took [tex]$25[/tex] out of her checking account. After taking the money out, she had [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 + 25 = 100[/tex]
B. [tex]c \div 25 = 100[/tex]
C. [tex]c \times 25 = 100[/tex]
D. [tex]c - 25 = 100[/tex]

Answer :

To find out how much Sammie had in her account before taking the money out, we need to set up an equation based on the information given. Here's a step-by-step explanation:

1. Identify the Known Values:
- Sammie withdrew [tex]$25 from her checking account.
- After withdrawing, she had $[/tex]100 left.

2. Define the Variable:
- Let [tex]\( c \)[/tex] represent the initial amount of money Sammie had in her account before withdrawing any money.

3. Set Up the Equation:
- Since she took [tex]$25 out and ended up with $[/tex]100, you can express this situation with the equation:
[tex]\[
c - 25 = 100
\][/tex]
- This equation states that the initial amount [tex]\( c \)[/tex] minus the [tex]$25 she withdrew equals the $[/tex]100 remaining in her account.

4. Solve the Equation:
- To find [tex]\( c \)[/tex], you need to add [tex]$25 to both sides of the equation to isolate \( c \):
\[
c = 100 + 25
\]
- When you add these values, you get:
\[
c = 125
\]

So, Sammie originally had $[/tex]125 in her account before she withdrew the $25.

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