## Ration Ratios

At a recent math conference, lunch was provided for the participants. To be sure that there was enough food for everyone, the kitchen staff made more lunches than there were people attending. In fact, the ratio of prepared lunches to people was 7:5.

Because they anticipated a large number of vegetarians at the conference, the staff made 2 vegetarian lunches for every 3 non-vegetarian lunches.

It turned out that the ratio of non-vegetarians to vegetarians at the conference was 3:4.

I find this information about ratios to be very interesting. I would think that there would not be enough food for the vegetarians since it turned out that there were 4 vegetarians for every 3 non-vegarians. This is quite interesting to ponder.

Offered solution posted at

https://twitter.com/CCSSIMath/status/818545275094663168

Hi, CCSSIMath. I’m curious what the solver might have noticed and wondered before generating this solution, and what others might notice and wonder about the solution.