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Sammie took \$25 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 \times 25 = 100[/tex]

B. [tex]c + 25 = 100[/tex]

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

D. [tex]c - 25 = 100[/tex]

Answer :

Let \( c \) be the original amount in Sammie's account. Since she withdrew \$25 and was left with \$100, we can set up the following equation based on the fact that the withdrawal reduces her account by \$25:

$$
c - 25 = 100
$$

Here’s the step-by-step explanation:

1. **Understand the Situation:**
Sammie had \( c \) dollars originally. After withdrawing \$25, her remaining balance became \$100.

2. **Formulate the Equation:**
Subtracting \$25 from the original amount gives the remaining amount:
$$
c - 25 = 100
$$

3. **Solving for \( c \):**
Although the question only asks for the correct equation, note that solving this would give:
$$
c = 100 + 25 = 125
$$
This means Sammie originally had \$125 in her account.

4. **Conclusion:**
The correct equation from the given options is:
$$
c - 25 = 100
$$

Therefore, the correct choice is the equation \( c - 25 = 100 \), which corresponds to option 4.

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