Their world had been rocked, and the questions came fast and furious: A 31-year-old teacher from Midtown Manhattan who had barely touched a banana in six years wanted to know if she could really consume them with impunity. A small-business owner from TriBeCa wondered whether she was being nudged to part with that second (or third) glass of wine. And a woman with silky brown hair, on her way out the door after a Weight Watchers meeting in the basement of a Park Avenue South office building, had a particularly urgent need.

“I just have one question,” the woman said. “How much is a potato latke? I need to know for tonight.”

They and others had been searching for answers and grappling with their implications since Sunday, when Weight Watchers began unveiling its first major overhaul to its cultlike points system, prompting the 750,000 members who attend weekly meetings across the United States  and some one million online adherents  to rethink how they shop, cook and eat.

The new plan, company officials say, is based on scientific findings about how the body processes different foods. The biggest change: All fruits and most vegetables are point-free (or free of PointsPlus, as the new program is called). Processed foods, meanwhile, generally have higher point values, which roughly translates to: should be eaten less.