How a spousal RRSP can save couples tax

Can I contribute to both a spousal RRSP and RRSP or does it have to be one or the other? Does the same RRSP deduction apply to the spousal RRSP and the RRSP? For example, if I have $10,000 in RRSP contribution room can I contribute $10,000 to my Spousal RRSP and $10,000 to my RRSP? Please clarify this for me. 
—DougHi Doug. Yes, you can contribute to your registered retirement savings plan (RRSP), your spouse’s RRSP, or any combination of the two, but no, you can’t double