Unfortunately there is no easy solution. I've found a way but it almost takes standing on your head.
Let's start with the easy part. If your audio is from an iPhone it will be a .m4a file. I use media.io to convert it to .mp3.
Now the hard part. Do a Google search for "audio-player.swf".
Start going through the links looking for a link to a audio_player.swf that you trust downloading from and that works. No need to waste your time on the Google links. It seems like they've all been moved.
I found a link that worked. I downloaded the file and renamed it to just audio-player.swf.
Sorry but it gets harder.
Now you need a place to upload files to. Fortunately I have access to a Google Sites site. I uploaded audio-player.swf and the mp3 file to this site.
Well, that's all the hard stuff.
Here's the HTML code that you'll need to embed in your Blogger blog.
<embed type="application/x-shockwave-flash" flashvars="audioUrl=http://_your_site_here_/Yodel.mp3?attredirects=0&d=1" src="http://_your_site_here_/audio-player.swf" width="400" height="27" quality="best"></embed>Good luck!