Conditional SUM() based on text of a cell using iWork I have some basic data

Name | Amount
Jake | 10
Jake | 12
Jake | 13
Ben  | 1
Ben  | 14
Ali  | 9
Ali  | 4


I want to total up the amount for each person so I end up with something like

Jake | 35
Ben  | 15
Ali  | 13


Rather than specifying which cells are Jake's, Ben's and Ali's I want to do this using a function. Pseudo code might look like:

TOTAL = WHERE `Name` IS "Jake" IN `COL-A` + `Amount`
It would appear that SUMIF() does exactly this

 =SUMIF(test-range, “test”, [sum-range])