Sum of Cells Based on Multiple Criteria

Basically, what I want to do is search for a specific entity code that may be in multiple rows, and if any of those rows contain one of three specific account codes, I want to take the sum. For example:

Entity Code Account Code Amount
1 20 100
1 25 220
1 40 160
1 50 70
1 60 95
1 70 110
2 30 100
2 25 220
2 55 160
2 50 70
2 65 95
2 70 110

This is just a quick example I put together since I'm not the best at copying and pasting pictures of my actual spreadsheet. What I want to do is search for the entity, and if any of the account codes match 20, 50 or 60, I want it to take the number from the amount column and sum them. So for entity 1, the total would be 265 (100+70+95) since it contains all of the accounts. Entity 2 would be 70 since it does not contain account code 20 or 60, just 50.

I hope this makes sense. I thought a SUMIF would do the trick, but I can't seem to get that to work. Please let me know if you have any questions or require any additional information.

Thanks!

Thank you for the quick response! That seems to be working perfectly, thank you!!!