Final answer:
The original price of the picnic cooler before tax is calculated by dividing the total price paid ($7.95) by 1.06, which accounts for the 6% sales tax. This gives us an original price of approximately $7.50.
Step-by-step explanation:
The question asks us to calculate the original price of an item before sales tax was added. Anton bought a picnic cooler and the total bill, including a 6% sales tax, was $7.95. To find the original price, we need to first convert the sales tax rate from percent to decimal, which is done by dividing it by 100.
Hence, 6% becomes 0.06. Next, we set up an equation where the original price plus 6% of the original price equals $7.95. If we let the original price be represented by the variable 'P', the equation can be expressed as P + 0.06P = $7.95. To solve for 'P', we combine like terms to get 1.06P = $7.95, and then we divide by 1.06 to isolate P. After solving, we find that the original price (P) is approximately $7.50.