Hi Emmanuel,
If you open up the .csproj file for your solution in notepad. Look for the ProjectTypeGuids. They indicate the required supported types for your solutions. Search the internet these GUIDs to find out what they require.
For example E53F8FEA-EAE0-44A6-8774-FFD645390401 means it requires "MVC 3.0", this GUID is present on the sample you downloaded as well, I checked it:
<ProjectTypeGuids>{E53F8FEA-EAE0-44A6-8774-FFD645390401};{349c5851-65df-11da-9384-00065b846f21};{fae04ec0-301f-11d3-bf4b-00c04f79efbc}</ProjectTypeGuids>
So, try to install MVC3 and see if it solves your problem. Source is
here.
Hope this helps!
Best Regards,
Carlos Sardo