live event audio

Shooting several dance recitals in a few months. Single camera located in rear of auditorium and audio console in front. I want to get an audio feed from the mixer and don't want to deal with running cable for such a distance. Any suggestions on reasonably priced wireless transmitters and receivers? Can they do the job?

In addition, with a line feed from the mixer I get clean audio of the music and microphone but miss the audience applause. I usually run 2 channels of audio. One from the mixer and one being the camera mic. Now I've read in this forum that is not the way to go. How can I best record clean audio for the music and introductions and still get the audience response? With a single camera mic the noise from the audience sometimes "overpowers" the music on stage. Looking for some sage advice!