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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 \times 25 = 100[/tex]

B. [tex]c - 25 = 100[/tex]

C. [tex]c + 25 = 100[/tex]

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

Answer :

To find the correct equation that can be used to determine the amount, [tex]c[/tex], that Sammie had in her checking account before taking out $25, we need to understand the situation clearly:

Sammie initially had an unknown amount [tex]c[/tex] in her account. She withdrew $25, and after the withdrawal, $100 remained in her account.

We can set up an equation to represent this transaction:

  1. Start with [tex]c[/tex], the original amount in her account.
  2. Subtract $25 from [tex]c[/tex], because that's the amount she took out.
  3. Set the result equal to $100, because that's what remained.

In mathematical terms, this process can be represented by the equation:

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

This equation simply states that if you take $25 away from [tex]c[/tex], you will be left with $100.

Therefore, the correct answer is: Option B, [tex]c - 25 = 100[/tex].

Let's not consider options A, C, and D:

  • Option A: [tex]c \times 25 = 100[/tex] implies multiplication, which doesn't align with withdrawing money.
  • Option C: [tex]c + 25 = 100[/tex] suggests adding money to her account, which is incorrect here.
  • Option D: [tex]c \div 25 = 100[/tex] involves division, and isn't applicable in this context.

Thus, through logical deduction and mathematical reasoning, [tex]c - 25 = 100[/tex] is the right equation for this problem.

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