Normally one wouldn't "haggle lives" over hypothetical of how many you'd kill to save your grandma. Normal people would demand to know what kind of system is forcing them to sacrifice lives in order to save grandma, and why the solution isn't to instead dismantle that system.
Example: limited number of donor kidneys. What will you dismantle to solve this? Not everything can be solved by dismantling something. Some resources are truly limited.