How do I designate a number in one table and add them up in another.

Can someone please help me do this. I dont even know what to call it. Conditional categorization?
I have a table with costs, and another table to separate them into categtroies as shown:
I want to be able to enter a category in the green column, and have those nunmber appear and total up in the COST TOTALS in the second table.
What formula do I put in the COST TOTALS cells?

Tracy,
Name the table on the left "Data" and the table on the right "Summary".
In the table table summary add a header row and a footer row.  In my example the header is row 1 and the footer is row 13:
For the table on the right (title "Summary") make the header row contain the titles as show.  Also enter the categories as show.  in column A of the footer enter the text "Total"
B2=SUMIF(Data::A, A2,Data::B)
this is shorthand for select cell B2 and type (or copy and paste from here) the formula:
=SUMIF(Data::A, A2,Data::B)
now select B2,  and fill down by hovering the cirsor over the bottom edge and drag the yellow circle down as needed.
In the footer row (in this example B13) enter the formula:
B13=SUM(B)
Please let us know if you have other questions

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