To determine the original price of the membership, we need to consider two main factors: The price she paid for, and the percentage of the original.
She paid $50 as 80% of the original, or in other words, $50 is 4/5 of the original price (as 80%/100% simplified is 4/5); therefore, we can calculate the price by simple division and multiplication.
First, we need to divide $50 by 4, as to determine what 1/5 of the original price is. This leaves us at a quotient of $12.50.
Next, we need to multiply our quotient by 5 to determine the original price of the membership. This will leave us with our final product of $62.50.
To conclude our answer, the original price for the membership was $62.50.
I hope this helps!