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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 :

Sure! Let's solve the problem step-by-step to find the correct equation that represents the situation.

1. Understanding the Problem:
- Sammie took \[tex]$25 out of her checking account.
- After taking the money out, she had \$[/tex]100 left in her account.
- We need to find the original amount of money [tex]\(c\)[/tex] she had in her account before taking out the \[tex]$25.

2. Setting Up the Equation:
- Let's denote the original amount of money in her account by \(c\).
- After taking \$[/tex]25 out, the remaining amount is [tex]\(c - 25\)[/tex].
- According to the problem, the remaining amount after withdrawing \[tex]$25 is \$[/tex]100.

3. Formulating the Equation:
- The equation to represent this situation would be:
[tex]\[
c - 25 = 100
\][/tex]

Now, let's review the options given and match them with our formulated equation:

- [tex]\( c \times 25 = 100 \)[/tex]: This doesn't make sense because multiplying the original amount by 25 should not equal the remaining balance.
- [tex]\( c - 2 \dot{5} = 100 \)[/tex]: This is incorrectly formatted and doesn't apply to the context.
- [tex]\( c + 25 = 100 \)[/tex]: This suggests adding \[tex]$25 to the original amount to get \$[/tex]100, which is not correct.
- [tex]\( c \div 25 = 100 \)[/tex]: This implies dividing the original amount by 25 to get \$100, which is also incorrect.

The correct equation is indeed:
[tex]\[
c - 25 = 100
\][/tex]

This is the equation that can be used to find the amount, [tex]\(c\)[/tex], that Sammie had in her account before taking the money out.

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Rewritten by : Barada