Question

A daycare center in Newport currently has 1 assistant caregiver and 5 senior caregivers. Since demand is high, the owner is going to be hiring 4 assistant caregivers per month and 2 senior caregivers per month. Her goal is to have a larger staff, including an equal number of assistant caregivers and senior caregivers. How many of each type will there be? How long will that take?

a) 2 assistant caregivers and 8 senior caregivers in 4 months
b) 3 assistant caregivers and 7 senior caregivers in 3 months
c) 4 assistant caregivers and 6 senior caregivers in 2 months
d) 5 assistant caregivers and 5 senior caregivers in 1 month

Answer 1

To achieve an equal number of assistant and senior caregivers at the daycare, it will take two months, resulting in 9 caregivers of each type.

Step-by-step explanation:

The question involves calculating the increase in staff numbers over time until an equal number of assistant caregivers and senior caregivers are reached at a daycare center in Newport. Initially, there is 1 assistant caregiver and 5 senior caregivers. The owner will hire 4 assistant caregivers and 2 senior caregivers per month. Let's denote assistant caregivers as 'A' and senior caregivers as 'S'. After one month, A will be 1+4=5 and S will be 5+2=7. After two months, A will be 5+4=9 and S will be 7+2=9. Thus, it will take two months to have an equal number of assistant caregivers and senior caregivers, which will be 9 of each type.