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 $85 per month, while the membership for
the second gym costs $65 per month. If she ended up spending a total of $940 over the course of the
year, how much time did she spend at each gym?
Enter a system of equations to represent the situation, then solve the system.
The system of equations is
and
Jan spent
months at the first gym and
months at the second gym.