College

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

Answer :

To solve this problem, let's think about what happens when Sammie takes money out of her checking account.

1. Setup the Problem:
- Let [tex]\( c \)[/tex] represent the initial amount of money Sammie had in her checking account before withdrawing any money.
- Sammie took out \[tex]$25 from her account.
- After the withdrawal, the remaining balance in her account is \$[/tex]100.

2. Translate into a Mathematical Equation:
- The action of withdrawing \$25 from the account means that [tex]\( c \)[/tex] was reduced by 25 to result in a balance of 100.
- This situation can be written as the equation:
[tex]\[
c - 25 = 100
\][/tex]

3. Verify Understandability:
- This equation makes sense because:
- [tex]\( c \)[/tex] is the original amount,
- Subtracting 25 represents the money taken out,
- The remaining [tex]\( 100 \)[/tex] is what was left after the withdrawal.

Thus, the correct equation that represents the situation is [tex]\( c - 25 = 100 \)[/tex]. This equation can be used to find out how much money Sammie initially had in her account.