A student has an average score of $80$ from her first four Mathematics tests, and $88$ from her first five Physics tests. How much must she score in her upcoming tests to raise her average score in Mathematics and Physics to $82$ and $89,$ respectively?
- $92$ in Mathematics and $100$ in Physics.
- $86$ in Mathematics and $90$ in Physics.
- $88$ in Mathematics and $92$ in Physics.
- $90$ in Mathematics and $94$ in Physics.