Do I put adults with bad credit on the lease?

[Tim Bartel]

I sometimes accept multiple adults in an apartment, where only one of them is financially able (or has decent credit history) to make the rent payments. Should I still put all adults on the lease? My concern is that the primary payer will move out mid-lease and I have to finish out the lease with the other party if on the lease, but if only the primary payer is on the lease, I can make them finish out the lease, and when the primary payer leaves, everyone has to go. 

Right now I have an applicant who is a lady with an unemployed 22-yr old son. Do I want him on the lease?