Isabella paid one of her bills late and owed a 4% late fee. Her total, with the late fee, was $780. How much was Isabella's original bill in dollars? ◻

Question

Isabella paid one of her bills late and owed a  4% late fee. Her total, with the late fee, was  $780. How much was Isabella's original bill in dollars?  ◻

Bytelearn · Accepted Answer

Understand Total Paid: We know: Total amount paid with late fee: $780 Late fee percentage: 4% To find the original bill amount, we need to understand that the total amount paid is 104% of the original bill (100% of the bill + 4% late fee). Let's represent the original bill amount as x. So, 104% of x is equal to $780. We can write this as 1.04x = $780. Now, we need to solve for x to find the original bill amount.Represent Original Amount: To solve for x, we divide both sides of the equation by 1.04. x = $780 / 1.04 Now, we perform the division to find the value of x. x = $750 This means the original bill amount was $750.Solve for Original Amount: We should check our math to ensure there are no errors. Let's calculate 4% of $750 to see if it adds up to the late fee that would result in the total of $780. 4% of $750 is 0.04 * $750 = $30. Now, we add the late fee to the original bill amount to see if it matches the total amount paid. $750 + $30 = $780 This confirms that our calculation is correct.

Isabella paid one of her bills late and owed a $4\%$ late fee. Her total, with the late fee, was $\$780$ . How much was Isabella's original bill in dollars? $\newline$ ◻

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Isabella paid one of her bills late and owed a $4\%$ late fee. Her total, with the late fee, was $\$780$ . How much was Isabella's original bill in dollars? $\newline$ ◻