475
1) If 5 out of 10 patients receive medication, then we have this ratio:
[tex]\frac{5}{10}=\frac{1}{2}=0.5[/tex]2) If 950 patients go to the hospital for the same reason, we can write out the following ratios to get to know what we expect:
[tex]\begin{gathered} \frac{1}{2}=\frac{x}{950} \\ 2x=950 \\ \frac{2x}{2}=\frac{950}{2} \\ x=475 \end{gathered}[/tex]Note that we could cross multiply those ratios.
3) Hence, we can expect that 475 people receive a prescription for medication.