Gymnastics? yes? or no?

well, i'm a dancer and i really would love to start doing gymnastics. i did it for about a year when i was younger, but then i sprained my ankle and never went back to it, and now i'm thinking i want to. thing is, i'm 16 years old, is that too late to start? i mean i only want to learn like back walk overs, handsprings, etc. and also, since i am so involved in dance, my mom won't let me do anything else, because i am so busy and all her money goes towards my dance. is there any way i could learn without it costing too much? any ideas at all?