Would you approve an experiment that would sacrifice 10 animals to save 10,000 people?

Suppose the only way to save those 10,000 people was to experiment on one mentally challenged orphan. If saving people is the goal, wouldn’t that be worth it? Most people will agree that it is wrong to sacrifice one human for the “greater good” of others because it would violate that individual’s rights. There is no logical reason to deny animals the same rights that protect individual humans from being sacrificed for the common good.