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Answer :
To determine how much Sammie originally had in her account before withdrawing [tex]$25, we can use an equation based on the situation described. Let's break it down:
1. Understand the problem: Sammie took $[/tex]25 out of her checking account and was left with [tex]$100. We need to find out how much she had before this withdrawal.
2. Define the variable: Let \( c \) be the amount of money Sammie had in her account before she withdrew the $[/tex]25.
3. Set up the equation: The situation is that Sammie had some initial amount [tex]\( c \)[/tex], then she withdrew [tex]$25, and finally, she had $[/tex]100 remaining. This can be written as:
[tex]\[
c - 25 = 100
\][/tex]
This equation represents the money she had initially [tex]\( c \)[/tex], minus the [tex]$25 she withdrew, equals the $[/tex]100 she had left.
4. Check other options for clarity:
- [tex]\( c \div 25 = 100 \)[/tex]: This would imply that dividing Sammie's initial amount by 25 gives 100, which doesn't fit the scenario.
- [tex]\( c + 25 = 100 \)[/tex]: This would imply she added [tex]$25 to her account to get $[/tex]100, which contradicts her withdrawing.
- [tex]\( c \times 25 = 100 \)[/tex]: This implies her initial amount multiplied by 25 equals 100, which is unrelated to the withdrawal described.
5. Conclusion: The correct equation that represents this situation and helps us find the starting amount is:
[tex]\[
c - 25 = 100
\][/tex]
This equation simplifies understanding how the money in Sammie's account changed with the withdrawal, allowing for calculating her original balance.
1. Understand the problem: Sammie took $[/tex]25 out of her checking account and was left with [tex]$100. We need to find out how much she had before this withdrawal.
2. Define the variable: Let \( c \) be the amount of money Sammie had in her account before she withdrew the $[/tex]25.
3. Set up the equation: The situation is that Sammie had some initial amount [tex]\( c \)[/tex], then she withdrew [tex]$25, and finally, she had $[/tex]100 remaining. This can be written as:
[tex]\[
c - 25 = 100
\][/tex]
This equation represents the money she had initially [tex]\( c \)[/tex], minus the [tex]$25 she withdrew, equals the $[/tex]100 she had left.
4. Check other options for clarity:
- [tex]\( c \div 25 = 100 \)[/tex]: This would imply that dividing Sammie's initial amount by 25 gives 100, which doesn't fit the scenario.
- [tex]\( c + 25 = 100 \)[/tex]: This would imply she added [tex]$25 to her account to get $[/tex]100, which contradicts her withdrawing.
- [tex]\( c \times 25 = 100 \)[/tex]: This implies her initial amount multiplied by 25 equals 100, which is unrelated to the withdrawal described.
5. Conclusion: The correct equation that represents this situation and helps us find the starting amount is:
[tex]\[
c - 25 = 100
\][/tex]
This equation simplifies understanding how the money in Sammie's account changed with the withdrawal, allowing for calculating her original balance.
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