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

Answer :

Sure! Let's determine the right equation to find the amount, [tex]\( c \)[/tex], that Sammie had in her checking account before taking out the money. Here's how you can approach it:

1. Understand the Problem:
- Sammie withdrew [tex]\(\$ 25\)[/tex] from her account.
- After the withdrawal, she had [tex]\(\$ 100\)[/tex] remaining.

2. Define the Variables:
- Let [tex]\( c \)[/tex] be the amount Sammie had in her account before she took the money out.

3. Set Up the Equation:
- Since Sammie took [tex]\(\$ 25\)[/tex] out, we can express the situation as:
[tex]\[
\text{Initial amount} - \text{Money taken out} = \text{Remaining amount}
\][/tex]
- In terms of the variable [tex]\( c \)[/tex], this equation translates to:
[tex]\[
c - 25 = 100
\][/tex]

4. Verify the Equation:
- The equation [tex]\( c - 25 = 100 \)[/tex] correctly represents the scenario where Sammie starts with an unknown amount [tex]\( c \)[/tex], removes [tex]\(\$ 25\)[/tex], and ends up with [tex]\(\$ 100\)[/tex].

Thus, the correct equation to use is [tex]\( c - 25 = 100 \)[/tex]. This equation will help you find out how much money Sammie originally had in her checking account before she withdrew [tex]\(\$ 25\)[/tex].

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