Count Cells Combined With If Formulas

My spreadsheet looks something like this:

ID
Responsibility
Criteria One
Criteria Two
Criteria Three
Numbers
Functional Column

ID1
Marc
lorem
lorem
lorem
1
x

[Code] .......

I want to build a little report on another worksheet that goes over the table and counts cells (i.e. data records) based on the entries in the last column (i.e., if the corresponding data-record has an "x" in that column, then it should be counted).

As every data record also carries a numeric value in the "Numbers" column, I wanted to do this with COUNT formula combined with an IF-formula.

The formula to count the corresponding data records that match the criteria then looks something like this:

=COUNT(IF($F$1:$F$6="x";$E$1:$E$6))

However, this always counts all cells in the "Numbers" column. I want the formula only to return the range of "Numbers" cells, that belong to the matched data records.

Is there an easier or cleaner way to do this?