can a virus be burned in a cd along with your files??

the computer in my workplace has tons and tons of viruses. From worms to trojans, etc. all my important files are there and I want to have a safe copy of my files because there had been countless times that the computer would just break down and files will be erased forever. So i decided to copy and paste most of the contents from my folder into a USB and pasted it in my laptop.

before i did anything, i scanned the usb.. and as expected there were a lot of viruses detected. they were removed or cleaned and the usb was clean (so it says). i didn’t open the folder yet because i want to burn it directly into a cd then open it after.

will the virus be burned in a cd??? are the viruses really "Gone"???

thanks for the help!