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

Answer :

Sure! Let's go through the problem step-by-step:

1. Understand the Problem:
- Sammie had some money in her account before she withdrew [tex]$25.
- After withdrawing $[/tex]25, she was left with [tex]$100.
- We need to find out the original amount, which we’ll call \( c \).

2. Set Up the Equation:
- We know that after Sammie took $[/tex]25, she had [tex]$100 left. So, we can write this situation as an equation to find \( c \).
- Starting amount in her account minus the $[/tex]25 she withdrew should equal the remaining amount:

[tex]\[
c - 25 = 100
\][/tex]

3. Solve the Equation:
- To find the original amount [tex]\( c \)[/tex], we need to isolate [tex]\( c \)[/tex] on one side of the equation.
- We do this by adding 25 to both sides of the equation:

[tex]\[
c - 25 + 25 = 100 + 25
\][/tex]

[tex]\[
c = 125
\][/tex]

- Therefore, the original amount Sammie had in her account was [tex]$125.

4. Identify the Correct Equation:
- The equation that correctly represents the situation and can be used to find the original amount is:

\[
c - 25 = 100
\]

So, the correct answer is the equation \( c - 25 = 100 \). This equation helps us figure out that Sammie originally had $[/tex]125 in her checking account.

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