High School

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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 the amount Sammie had in her account before she took the money out, let's set up an equation based on the information provided.

1. Identify what we're looking for: We're trying to find the amount Sammie had before she withdrew the [tex]$25. Let's call this amount \(c\).

2. Understand the situation: Sammie had an initial amount in her account (\(c\)). After taking out $[/tex]25, she was left with [tex]$100.

3. Create an equation:
- You start with \(c\) dollars.
- You take away $[/tex]25.
- You end up with [tex]$100.

In mathematical terms, it looks like this:
\[
c - 25 = 100
\]

4. Check the options: We want to pick the equation that accurately fits this situation. The equation \(c - 25 = 100\) matches the story we described.

So, the correct equation to find the amount \(c\) that Sammie had in her account before withdrawing $[/tex]25 is [tex]\(c - 25 = 100\)[/tex].

The other options don't correctly describe the situation:
- [tex]\(c + 25 = 100\)[/tex] implies she added [tex]$25 to $[/tex]100, which isn’t the case.
- [tex]\(c \div 25 = 100\)[/tex] implies division, which doesn't relate to what's described.
- [tex]\(c \times 25 = 100\)[/tex] implies multiplication, which also doesn't fit.

Therefore, the correct equation is:
[tex]\[
c - 25 = 100
\][/tex]

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