How to transfer numbers from one sheet to another (and summarize) in google spreadsheets?

Question

Google Sheets

First sheet: There is a google table where in the first column there are 13 rows with drop-down lists (names in the list) and the second column is empty, you need to enter the number there yourself.

Second sheet: a column with names (not lists) (13 lines), and the second column is empty (the result will be written

there) ?
And if, let's say, on the first sheet in the first line, I select Ivan from the list, write him a number (let's say 10), on the second sheet, 10 should be added to Ivan, although he may be on the 5th line. How to make such a link?
And how to make it all happen when you click on the button, and after that the first sheet is cleared, but the second one is not?