Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership with the first gym after x months and spends the rest of the year, y months,
with the second gym. The membership to the first gym costs 575 per month, while the membership for
the second gym costs 560 per month. If she ended up spending a total of $810 over the course of the
year, how much time did she spend at each gym?