A remote-control aircraft company produces two types of models: Basic and Advanced. The cost to produce each Basic model is given by the equation:
$$C_B = 50 + 15x$$
where $C_B$ is the total cost for producing $x$ Basic models. Similarly, for the Advanced models, the equation is:
$$C_A = 75 + 20y$$
where $C_A$ is the total cost for producing $y$ Advanced models. The company wants to minimize the production costs while maintaining a total budget of $C_T$ such that:
$$C_T ext{ (total budget)} = C_B + C_A$$
What is the minimum number of Basic models they can produce if they decide to produce 10 Advanced models, while still adhering to this budget? Write your answer as a whole number.