Final answer:
Katy and James will have the same amount of money after 14 months. We can calculate this by setting up an equation based on their starting amounts and monthly saving/spending habits.
Step-by-step explanation:
To find out when Katy and James will have the same amount of money, we need to set up an equation. Katy starts with $105 and saves $2 each month. James starts with $175 and spends $3 each month. To calculate the number of months until they have the same amount, let's call the number of months 'm'. The equation will be:
105 + 2m = 175 - 3m
Solving for 'm' gives us:
5m = 70
m = 14
So, after 14 months, Katy and James will have the same amount of money.