In the early 1920s, a woman named Josephine Dickson who tended to injure herself in the kitchen grew tired of trying to wrap her cuts with bulky, clumsy gauze.
This inspired her husband, Earle, to invent what became a simpler, sleeker alternative: sterilized, pre-made adhesive bandages. Earle offered them to his employer, Johnson & Johnson whose marketing triumphs included shipping free Band-aids to the Boy Scouts.
Although the noun Band-aid is still protected under trademark (i.e., "Band-aid brand"), the adjective band-aid is generic. Since 1970, folks have been using such the term in such phrases as "a band-aid solution."