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

Answer :

Sure! Let's go through the problem step-by-step.

We need to find the amount, [tex]\( c \)[/tex], that Sammie had in her checking account before she took \[tex]$25 out.

According to the problem, after taking \$[/tex]25 out, Sammie had \[tex]$100 remaining in her checking account. This situation can be represented with the following equation:

\[ c - 25 = 100 \]

Here's how we set up the equation:
1. \( c \) represents the initial amount of money in Sammie's account.
2. Sammie took \$[/tex]25 out of her account, so we subtract 25 from [tex]\( c \)[/tex].
3. After taking out [tex]\( 25 \)[/tex] dollars, the remaining amount in Sammie's account is \$100.

So, our equation is:
[tex]\[ c - 25 = 100 \][/tex]

Now, let's choose the correct equation among the options given:

- [tex]\( c - 25 = 100 \)[/tex]
- [tex]\( c \times 25 = 100 \)[/tex]
- [tex]\( c + 25 = 100 \)[/tex]
- [tex]\( c \div 25 = 100 \)[/tex]

The correct equation is [tex]\( c - 25 = 100 \)[/tex].

Thus, using the equation [tex]\( c - 25 = 100 \)[/tex] allows us to find the initial amount [tex]\( c \)[/tex] that Sammie had in her account before taking out the money.

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