Katie Price (aka Jordan) Weds in Vegas

Katie Price (aka Jordan) Weds in Vegas
Alex Reid and Katie Price

02/03/2010 AT 08:35 AM EST

Less than a year after splitting from her ex-husband, British model Katie Price again tied the knot – this time to her martial-arts fighter boyfriend.

Price, 31, and Alex Reid, 34, married Tuesday in the Wynn's Las Vegas Wedding Salon in a quick, but planned ceremony.

"They were scurrying around all day, shopping for rings and prepping for the wedding," a source told PEOPLE.

The couple arrived in Las Vegas Monday night and checked into a suite at Planet Hollywood Resort and Casino. Only three hours after touching down, the two applied for a marriage license, setting in motion Tuesday's nuptials.

Price, also known in the U.K. as Jordan, recently divorced British singer Peter Andre, with whom she costarred on the E! reality show Katie and Peter.

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