Shaker
Actually it pretty much does. The number of those in need of an organ is around 7,000. That's a sizeable village. The total number of deaths each year is around 500,000. That's roughly equivalent to Manchester. Rhiannon correctly pointed out that people need to die in certain ways and with necessary conditions to be eligible to donate organs, so you can rule a certain percentage of that half million immediately. Nevertheless It's a perfectly reasonable assumption that the remainder - those who are eligible to donate - will be so large that it will more than supply the demand for donated organs.
So why is there a problem to discuss?
Because people have not opted in which is their choice.
Also, genetically engineered pigs organs I would think would be much better. They can be made to be not rejected by the patient, and be created to order.
If this can be done, it would be a much better solution, than hoping for a suitable match.
If a little girl need 100 pigs to die to save her, I would say "line em up".