Sumifs with or conditional in Google Sheets

Question

I have a database and I need to create a sumifs expression in Google sheets with the following rules: I have a range of cells and this would be a filter for what the sumifs must sum (similar to an OR). I think the image will explain a little bit better what my expected result is:

I have been trying with a lot of examples but none of them have given me the right result.

Answer 1

You can filter the values and then sum up:

First one would be: =SUM(FILTER($B$1:$B$6;$A$1:$A$6=$F$4:$F$6))

Second one: =SUM(FILTER($B$1:$B$6;$A$1:$A$6=$I$4:$I$5))

You can see an example I uploaded to GDrive