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

Answer :

Sure! Let's break down the problem step-by-step to find the equation that represents the given scenario.

1. Sammie has a certain amount [tex]\( c \)[/tex] in her checking account before taking any money out. This is what we want to find.

2. Sammie takes out [tex]\( \$25 \)[/tex] from her checking account.

3. After taking out [tex]\( \$25 \)[/tex], she has [tex]\( \$100 \)[/tex] remaining in her account.

To translate this scenario into an equation, we need to think about the relationship between the initial amount of money, the amount taken out, and the amount remaining.

Here's how we set it up:

- Initially, the amount in Sammie's account is [tex]\( c \)[/tex].
- She withdraws [tex]\( \$25 \)[/tex] from this amount.
- After withdrawal, she has [tex]\( \$100 \)[/tex] left.

This relationship can be written as:
[tex]\[ c - 25 = 100 \][/tex]

This equation shows that after subtracting [tex]\( \$25 \)[/tex] from the initial amount [tex]\( c \)[/tex], Sammie has [tex]\( \$100 \)[/tex] remaining.

Hence, the correct equation to find the initial amount [tex]\( c \)[/tex] is:
[tex]\[ c - 25 = 100 \][/tex]

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