475
1) If 5 out of 10 patients receive medication, then we have this ratio:
![(5)/(10)=(1)/(2)=0.5](https://img.qammunity.org/2023/formulas/mathematics/college/r83dyifkh6teoihki2rw6derkzjjrzwbuo.png)
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:
![\begin{gathered} (1)/(2)=(x)/(950) \\ 2x=950 \\ (2x)/(2)=(950)/(2) \\ x=475 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/xqn0kvb1u491wepfs7jowcl5xdtcv2ia88.png)
Note that we could cross multiply those ratios.
3) Hence, we can expect that 475 people receive a prescription for medication.