Using a system of equations, it is found that 595 students picked Science as their favorite subject.
For our system, we suppose that x is the number of students that picked science, and y is the number of students that picked math.
Ratio of science to math of 3:5, thus:
[tex]\frac{x}{y} = \frac{3}{5}[/tex]
Then
[tex]5x = 3y[/tex]
[tex]x = \frac{3y}{5}[/tex]
238 more students picked Math as their favorite subject, thus:
[tex]y = 238 + x[/tex]
[tex]y - \frac{3y}{5} = 238[/tex]
[tex]\frac{2y}{5} = 238[/tex]
[tex]y = \frac{238(5)}{2}[/tex]
[tex]y = 595[/tex]
595 students picked Science as their favorite subject.
A similar problem is given at https://brainly.com/question/21244414
