Solve the following worded problem using substitution or elimination method.
A daycare center in Newberry currently has 5 assistant caregivers and 11 senior caregivers. Since demand is high, the owner is going to be hiring 3 assistant caregivers per month and 1 senior caregiver per month. Her goal is to have a larger staff, including an equal number of assistant caregivers and senior caregivers. How long will that take? How many of each type will there be?