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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 \times 25 = 100 [/tex]
C. [tex] c + 25 = 100 [/tex]
D. [tex] c \div 25 = 100 [/tex]

Answer :

- Let $c$ be the initial amount in Sammie's account.
- Sammie withdrew $25, so we subtract $25 from $c$.
- The remaining amount is $100, so $c - 25 = 100$.
- The correct equation is $\boxed{c - 25 = 100}$.

### Explanation
1. Problem Analysis
Let's analyze the problem. Sammie withdrew $25 from her checking account and was left with $100. We need to determine which equation correctly represents the initial amount, denoted as 'c', in her account before the withdrawal.

2. Formulating the Equation
Let 'c' represent the initial amount in Sammie's account. Since she took out $25, we subtract $25 from 'c'. The remaining amount is $100. Therefore, the equation is: $c - 25 = 100$.

3. Evaluating the Options
Now, let's examine the given options:

* $c - 25 = 100$: This equation correctly represents the situation.
* $c \times 25 = 100$: This equation implies that the initial amount multiplied by 25 equals 100, which is incorrect.
* $c + 25 = 100$: This equation implies that Sammie added $25 to her account, which is not what happened.
* $c \div 25 = 100$: This equation implies that the initial amount divided by 25 equals 100, which is incorrect.

4. Final Answer
Therefore, the correct equation is $c - 25 = 100$.

### Examples
This type of problem is useful in everyday budgeting. For example, if you know how much money you spent and how much you have left, you can calculate how much you started with. This can help you keep track of your finances and make informed decisions about spending and saving.

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