Solution: Better buy $ 19.24 for 20 packs of gum.
Analysis: As we want to compare two purchase options of packs of gum, we need to find the rate of each option. In this case, we want to find the rate: Price per 1 pack of gum. We find it calculating the total price between the number of packs of gum.
Option 1:
![Rate=(29.38)/(30)=0.9793\cong0.98](https://img.qammunity.org/2023/formulas/mathematics/college/u1qru1qus7z1lyhf9c7yers5fynka8j1f8.png)
Option 2:
![Rate:\text{ }(19.24)/(20)=0.962\cong0.96](https://img.qammunity.org/2023/formulas/mathematics/college/nelucxjigtc30amvcxvewj7e924or5cudo.png)
After we find both rates, let's compare them:
![0.98>0.96](https://img.qammunity.org/2023/formulas/mathematics/college/dj33h0j5mnnztoejvcdusuatv2q8410mav.png)
For that reason, we can assume the best purchase option is $ 19.24 for 20 packs of gum.