SUMIF date range and filter by value on Google Spreadsheet

Question

How do I SUMIF two date ranges and filter with a value? The date range formula I've been using is:

=sumif($A:$A,"<="&D$5,$C:$C)-sumif($A:$A,"<"&D$4,$C:$C)  

Which works great for summing all values within column C. But as my sheet gets larger it would be nice to add a value filter, which in this example is (D6:) Food

Column A     Column B   Column C      Column D 
7/25/2012    Food       $9.26                                      
7/25/2012    Clothes    $40.00        D4 = Start Date (7/16/2012)
7/24/2012    Fast Food  $10.00        D5 = End Date   (7/20/2012)       
7/21/2012    Gas        $471.50    D6 = Value      (Food)       
7/18/2012    Food       $3.60          Sum of results = $516.49    
7/23/2012    Food       $478.73 
7/23/2012    Food       $34.16  
7/16/2012    Gas        $82.33  
7/15/2012    Food       $74.00 
7/15/2012    Rent       $400.00

Answer 1

In order to reproduce the result, given by the OP, you need to use this formula.

Formula

=SUM(FILTER(C2:C,B2:B=D6,A2:A>=D4,A2:A<=D5))

Note

Apart from that, you need to change the end date from 7/20/2012 to 7/23/2012

Screenshot

Example

See example file I prepared: SUM with FILTER

Answer 2

Here's the answer for reference:

=sum(filter(A:A,C2:C16=$D$6,A2:A>=D4,A2:A16<=D2))