In a classroom, the number of students taking Algebra is represented by the variable $x$. The number of students taking Geometry is represented by the variable $y$. The ratio of students taking Algebra to those taking Geometry is $2:3$. If there are a total of 50 students in the class, how many students are taking Algebra?
You need to determine the value of $x$, where the relationship can be described mathematically. Use the information provided to find the number of Algebra students and express your answer as an improper fraction and a decimal.