Final answer:
The original balance in Samantha's bank account before the withdrawal was $539.52, which is calculated by
x - 160 = 379.52
Step-by-step explanation:
The question involves determining the original balance in Samantha's bank account before she made a withdrawal. Given that Samantha withdrew $160 and her balance afterwards is $379.52, we can set up an equation to find the original balance. We can denote the original balance as x.
The equation to represent this situation is:
x - 160 = 379.52
To find the value of x, we add 160 to both sides of the equation. Therefore:
x = 379.52 + 160
x = 539.52
So, Samantha's balance before the withdrawal was $539.52.