Misti, I also have a Jack LaLanne juicer and I'm happy with it. I'm not sure which model you have, but this is the one I have.
My mother bought it from the commercial and never used it, and gave it to me. The only problem I've had with it has been with leafy greens that want to shoot out the back without juicing properly. I just scoop up the pulp from the container and run it through a second time and it gets the greens along with any juice that might not have been extracted the first time around. Overall, the pulp is usually pretty dry because it does a good job.
I don't juice very often, though. I live on mainly vegetables and fruits, and I like to eat them as food instead of a beverage.