Comparing Savings Plans

Two friends, Alex and Jamie, are comparing their savings plans. Alex saves money using a linear function based on the month:

$$A(t) = 50t + 200$$

where $$A(t)$$ is the total amount saved after $$t$$ months. Jamie saves money according to the function:

$$J(t) = 75t + 150$$

where $$J(t)$$ is the total amount saved after $$t$$ months. After how many months will Alex have saved the same amount as Jamie?