Final answer:
The original price of the shirt was P550.00 before the discount; this was calculated by setting up an equation for the original price less the discount, which equaled the final price paid, and solving for the original price.
Step-by-step explanation:
To find the original price of the shirt before the discount, we can set up an equation where the original price minus the discount (1/6 of the original price) equals the amount Jason paid:
Let P be the original price.
P - (1/6)P = 455
Multiplying each side by 6 to eliminate the fraction gives us:
6(P) - P = 2725
This simplifies to 5P = 2725.
Dividing both sides of the equation by 5 gives us:
P = 2725 / 5
P = 545
Therefore, the original price of the shirt was P550.00, which matches option b from the choices provided.