Final answer:
The original amount of the bill before the 5% discount was $61.25, calculated by taking the amount paid ($58.19) and dividing by 0.95.
Step-by-step explanation:
Frank paid a balance of $58.19 after a discount of 5% on his online order. To find the original amount before the discount, we can think of the amount Frank paid as 95% of the total, since the discount removed 5% from the total (100% - 5% = 95%).
Let's denote the original amount of the bill as O. We can set up the equation 0.95O = $58.19 to find the original amount. To find O, we solve this equation by dividing both sides by 0.95:
O = $58.19 / 0.95
O = $61.25 (rounded to two decimal places)
Therefore, the original amount of the bill before the discount was $61.25.