The University of Utah is obviously populated by many Mormons who follow the adage "Bring 'em Young." That being said, there are a lot of married students at the U. However, this should not discourage you from trying to find love on campus. It's a big school and that equates to many single people, kind of the strength-in-numbers approach.
Many Mormons feel it's necessary to date and marry within their faith, and the Institute across the street from campus does a good job of introducing young people. For those not of Mormon faith, it then becomes your responsibility to meet and mingle with others. There are plenty of clubs, organizations, parties, and different means to meet people. The University of Utah has some very good-looking people, but be warned—look for wedding rings before making that final approach!