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Sammie took [tex]\$25[/tex] out of her checking account. After taking the money out of her account, 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 :

To solve this problem, we need to find the initial amount, [tex]\( c \)[/tex], that Sammie had in her checking account before withdrawing [tex]$25.

Here’s how you can determine which equation can be used:

1. Understand what each part of the question means:
- Sammie initially had some amount of money in her account, which we are calling \( c \).
- She then took out $[/tex]25 from that account.
- After withdrawing [tex]$25, she was left with $[/tex]100 in the account.

2. Translate the situation into an equation:
- Start with the initial amount [tex]\( c \)[/tex].
- Subtract [tex]$25 because that's how much money Sammie took out: \( c - 25 \).
- What's left in the account after the withdrawal is $[/tex]100.

3. Set up the equation:
- Based on the information, the equation that represents the situation is:
[tex]\[
c - 25 = 100
\][/tex]

4. Solve for [tex]\( c \)[/tex]:
- To find the initial amount, you need to solve the equation for [tex]\( c \)[/tex].
- Add 25 to both sides of the equation to isolate [tex]\( c \)[/tex]:
[tex]\[
c - 25 + 25 = 100 + 25
\][/tex]
- Simplifying, you get:
[tex]\[
c = 125
\][/tex]

So, Sammie initially had [tex]$125 in her account before she withdrew $[/tex]25. The correct equation to use is [tex]\( c - 25 = 100 \)[/tex], and solving it confirms that the initial amount was $125.

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