Buying Freedom

The law is that when you buy an amah Ivriyah (Jewish maidservant) you must give her a chance to buy her freedom. The Torah says the price she has to pay for her freedom is based on a formula. The purchase is based on a six-year contract and after each year of the contract the price to purchase her freedom is lowered by 1/6th of the amount that was originally paid for the maidservant [Shemos (Exodus) 21:8]. Write a formula to solve for the cost to the maidservant to purchase her freedom using the following variables:

R= cost to the maidservant to purchase her freedom

Y=the number of years she has been in service

P=original contract price

 

P – (P * (Y/6)) = R

(295)