Adding Value Only If Cell Is Validated In Row?

Here is the Scenario what I am into.

Row 1 Col1 Col2 Col3 Col4 Col5 Col6 Total
Row 2 10 "A" 19 "A" 13 "A" 42
Row 3 1 "A" 9 "B" 10 "A" 11

I was trying to have a formula which would add all values in the total column of that row whose adjacent cell has "A" in it . I am not sure if I am clear enough in my explanation but my example above is more clear want I meant .

I tried posting the same post earlier but I guess I was able to explain the same . I was trying to put the formula which will give the total column with a value in which it all gives addition of those values who's adjacent cell as "A" in it in the row .

Col1
Col2
Col3

[Code].....