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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 :

Let's denote the amount Sammy had originally in her account as [tex]\( c \)[/tex]. After taking out [tex]\(\$25\)[/tex], she had [tex]\(\$100\)[/tex] remaining. This situation can be described by the equation

[tex]$$
c - 25 = 100.
$$[/tex]

To explain step-by-step:

1. Sammy started with [tex]\( c \)[/tex].
2. She withdrew [tex]\(\$25\)[/tex] from her account.
3. After the withdrawal, the remaining amount is [tex]\( c - 25 \)[/tex].
4. We are told that this remaining amount is [tex]\(\$100\)[/tex].

Thus, we set up the equation:

[tex]$$
c - 25 = 100.
$$[/tex]

This is the equation that represents the situation. Hence, the correct multiple-choice option is:

[tex]$$
\text{Option 4: } c - 25 = 100.
$$[/tex]

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