There are some systems that have difficulties with sound, and I don't know if yours is one, but the most common problem is to have some channel muted that you don't know about. Alsamixer is the way to check this. Open a terminal and type 'alsamixer' (no need to use sudo). I think it is installed by default in Mint, but if you don't have it then go into synaptic and get it.
Use the left/right arrow keys on your keyboard to move around and look for any channel that has 'MM' beneath it. This means it is muted. Press the 'm' key to unmute it and use the up/down arrow keys to increase the volume level. Press 'Esc' to exit alsamixer.
Hope that works for you.
Fujitsu Lifebook AH532. Intel i5 processor, 6Gb ram, Intel HD3000 graphics, Intel Audio/wifi. Realtek RTL8111/8168B Ethernet.Lubuntu 13.10,Ubuntu12.10 (Unity), Mint16 (Cinnamon), Manjaro (Xfce).