problem using conditional formatting to flag cells by color and count them

Any help would be greatly appreciated! I am using Excel 2003 and am not sure how to use the conditional formatting. I have attached an example of the workbook I have, I'm sorry I could not attach the actual one b/c it contains patient information, however this one is set up just as I have for now.
What I don't know how to do is color the In Date box a certain color if there is no completion date entered w/in a certain number of days.
So if there is no COM DATE entered 10 days after the IN DATE I would like the IN DATE cell to turn yellow.
If no COM DATE entered w/in 20 days after the IN DATE - orange
no COM DATE w/in 30 days - red.

After the IN DATE cells have been colored I am wanting to count the number of cells w/that color.

I hope I have explained this appropriately and that the attachment helps.
Thanks in advance for any help!

Thank you for the reply! It's been extremely helpful I would have never gotten that I don't believe. I used the conditional formatting given and I have attached a sample of the issues I am having now. I don't quite understand the formula that was used and therefore I don't know the fix to this one. Thank you very much for the help.

So with the helper column would I need to go through and set each cell up individually? Cause it does not look like it's done through formatting, is that correct?

I'm sorry I wasn't very clear. The conditional format you provided me with works like a charm =) THANK YOU! I was referring to what Ron has posted, and I'm going to be trying to work on that today.
Is there a way that these numbers (the number of yellows, oranges, and reds) could be compiled onto a seperate sheet and listed by provider?

I'm sorry, but I did not see a reply button or "quick reply" this time so I'm posting this way. But thank you so much for your help! I have attached the example. There are notes on the summary page.
I am wanting to see if there is a way to count "complient" charts to have it placed onto the summary sheet as the other numbers are. Thank you so much once again =)

Thank you soooo much! It worked out =) Would you be able to take a look at this and see how can the percentage be calculated correctly when there is a zero in the total column on the summary page?

I honestly can not remember what I was referring too on that last question, but if we can completely forget that I asked that I have another one. On the attachment I hope it helps explain what I'm asking for help on. The IN DATE cells are being flagged, but now I'm needing to keep the cells flagged if the COM DATE is 30 days after the IN DATE so that the deliquent/complient percentages are correct. I'm sorry, surely you are getting tired of me! Thanks so much for all of your genius =)