High School

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

Answer :

To determine the amount Sammie had in her account before she took out \[tex]$25, we need to create an equation that accurately represents the situation described.

1. Sammie took \$[/tex]25 out of her account.
2. After withdrawing \[tex]$25, she had \$[/tex]100 left.

We are asked to find the initial amount of money [tex]\( c \)[/tex] that Sammie had in her account.

To form the correct equation, consider that the account balance after withdrawing \[tex]$25 is equal to \$[/tex]100:

[tex]\[ \text{Initial Amount} - \text{Withdrawn Amount} = \text{Remaining Amount} \][/tex]

Let [tex]\( c \)[/tex] represent the initial amount Sammie had in her account. The withdrawn amount is \[tex]$25, and the remaining amount is \$[/tex]100. Thus, the equation becomes:

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

Now that we have the equation, let's check if it matches with given options:

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

The equation [tex]\( c - 25 = 100 \)[/tex] is the correct equation to find the amount [tex]\( c \)[/tex] that Sammie had in her account before she took out the \$25. This equation accurately represents the scenario given in the problem.

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