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Answer :
To solve this problem, we need to determine the amount of money Sammie originally had in her checking account before withdrawing [tex]$25. Let's identify the step-by-step process:
1. Understand the Situation: Sammie took $[/tex]25 out of her account and had [tex]$100 remaining. This means the original amount of money she had in the account was more than what she has now, by exactly $[/tex]25.
2. Set Up the Equation: We are looking for the original amount of money in the account, which we'll call [tex]\( c \)[/tex]. The operation that represents taking [tex]$25 from this original amount is subtraction. If Sammie originally had \( c \) dollars, after taking out $[/tex]25, she has [tex]$100 left.
3. Translate the Situation into an Equation:
- Original amount of money \( c \)
- After withdrawal, she has \( 100 \) dollars left.
- The appropriate operation is subtraction since $[/tex]25 was taken out.
So, the equation is:
[tex]\[ c - 25 = 100 \][/tex]
This equation represents the situation where Sammie had an original amount [tex]\( c \)[/tex], subtracts [tex]$25, and is left with $[/tex]100.
4. Verify: Solving this equation for [tex]\( c \)[/tex] would involve adding 25 to both sides of the equation to find the amount Sammie initially had:
- [tex]\( c - 25 + 25 = 100 + 25 \)[/tex]
- Simplifying gives [tex]\( c = 125 \)[/tex]
Therefore, Sammie originally had $125 in her checking account. The correct equation to find out the amount, [tex]\( c \)[/tex], that Sammie had in her account before taking the money out is:
[tex]\[ c - 25 = 100 \][/tex]
1. Understand the Situation: Sammie took $[/tex]25 out of her account and had [tex]$100 remaining. This means the original amount of money she had in the account was more than what she has now, by exactly $[/tex]25.
2. Set Up the Equation: We are looking for the original amount of money in the account, which we'll call [tex]\( c \)[/tex]. The operation that represents taking [tex]$25 from this original amount is subtraction. If Sammie originally had \( c \) dollars, after taking out $[/tex]25, she has [tex]$100 left.
3. Translate the Situation into an Equation:
- Original amount of money \( c \)
- After withdrawal, she has \( 100 \) dollars left.
- The appropriate operation is subtraction since $[/tex]25 was taken out.
So, the equation is:
[tex]\[ c - 25 = 100 \][/tex]
This equation represents the situation where Sammie had an original amount [tex]\( c \)[/tex], subtracts [tex]$25, and is left with $[/tex]100.
4. Verify: Solving this equation for [tex]\( c \)[/tex] would involve adding 25 to both sides of the equation to find the amount Sammie initially had:
- [tex]\( c - 25 + 25 = 100 + 25 \)[/tex]
- Simplifying gives [tex]\( c = 125 \)[/tex]
Therefore, Sammie originally had $125 in her checking account. The correct equation to find out the amount, [tex]\( c \)[/tex], that Sammie had in her account before taking the money out is:
[tex]\[ c - 25 = 100 \][/tex]
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