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Default Add number before text that matches criteria

A1 = 1 A
B1 = 1.5 S
3 A
A2 = 4.25 S
B2 = 8 S

I have the following formula to look for text within a range of cells and
add the number before the text.
=SUM(IF(ISNUMBER(SEARCH("A",$A1:$A2)),--SUBSTITUTE($A1:$A2,"
"&IF(RIGHT($A1:$A2)="A","A",""),"")))

This works great when there is only one instance of text within the cell.
When I have more than one instance of text seperated by ALT Tab, I get ###
error. I need to find the text that meets the criteria (A or S) and add the
number before that text.

What do I need to add or change in my formula to look for the "A" in B1 and
add 3 to my total?

 
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