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

Answer :

To solve this problem, we need to figure out the amount Sammie had in her checking account before withdrawing [tex]$\$[/tex] 25[tex]$. Let's break it down step-by-step.

1. Understand the Problem:
- Sammie had some amount of money, c, in her checking account.
- She took out $[/tex]\[tex]$ 25$[/tex].
- After the withdrawal, she had [tex]$\$[/tex] 100[tex]$ left.

2. Choose the Correct Equation:
- We need to find out how much Sammie had in the account before taking out $[/tex]\[tex]$ 25$[/tex].
- To do this, use the operation that will undo the subtraction of [tex]$\$[/tex] 25[tex]$ from her original amount.
- The appropriate mathematical operation to find out the initial amount c is:
\[
c - 25 = 100
\]

3. Solve the Equation:
- Rearrange the equation to solve for c by adding $[/tex]\[tex]$ 25$[/tex] to both sides of the equation:
[tex]\[
c = 100 + 25
\][/tex]

4. Calculate c:
- Perform the addition:
[tex]\[
c = 125
\][/tex]

So, Sammie initially had [tex]$\$[/tex] 125[tex]$ in her checking account before she took out the $[/tex]\[tex]$ 25$[/tex]. The correct equation for this situation is [tex]\( c - 25 = 100 \)[/tex].

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