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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 :

We start by letting [tex]$c$[/tex] represent the amount Sammie had in her account before the withdrawal. Since she took out \[tex]$25, her account balance decreased by 25 dollars. After the withdrawal, her account balance was \$[/tex]100. This situation can be modeled by the following equation:

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

Here is the step-by-step breakdown:

1. Initially, Sammie had [tex]$c$[/tex] dollars in her account.
2. She withdrew \[tex]$25 from the account, so the new balance became $[/tex]c - 25[tex]$.
3. It is given that after the withdrawal her balance was \$[/tex]100. Thus, we set up the equation:

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

4. Solving this equation for [tex]$c$[/tex], we add 25 to both sides:

[tex]$$
c = 100 + 25 = 125
$$[/tex]

So, before the withdrawal, Sammie had \[tex]$125 in her account. The equation that correctly represents this situation is:

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

Thus, the correct choice is the first option.

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