Your MB need the intel Sandy Bridge CPU on it, then upgrade the BIOS so that you can use the Ivy Bridge CPU like your i3-3220.
You can't use the Ivy Bridge CPU w/o the newest BIOS. But anyway if you need the new MB, get this one from newegg.com " GIGABYTE GA-B75M-D3V LGA 1155 for $70 " that will fit you need. http://www.newegg.com/Product/Product.aspx?Item=N82E16813128540
I read that the MB is from your friend, so can you ask your friend for the CPU to do the BIOS update? Then you can save some.