To resolve the problem is useful to conform an equation with the information provided. We know that the initial amount is $50, to this quantity we are going to sum $20x where x represents weeks. Therefore, the equation obtained is
[tex]50+20x=250[/tex]Doing the corresponding calculations, we get
[tex]\begin{gathered} 20x=250-50 \\ x=\frac{200}{20}=10 \end{gathered}[/tex]Thus, Priya needs 20 weeks to have $250 in her bank account.