After a math lecture in Harvard the students went to the cafeteria and each one of them took a cup of tea and cheese sandwich. They all paid $18.94. How many students where they?

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- Jan 19th 2009, 10:41 AMkarimwahabMath puzzle
After a math lecture in Harvard the students went to the cafeteria and each one of them took a cup of tea and cheese sandwich. They all paid $18.94. How many students where they?

- Jan 19th 2009, 12:39 PMmr fantastic
- Jan 20th 2009, 05:00 AMOpalg
As stated here, there is no plausible solution. In fact, 1894 = 2×947, both of which factors are prime. So either there were 2 students and the cafeteria was ripping them off, or there were 947 students and the cafeteria is heavily subsidised.

In fact, I believe that the total payment should be $18.49. In that case, 1849 = 43^2. That gives a unique solution: 43 students, each paying 43¢. That's pretty good value for tea and a sandwich. I guess the cafeteria is subsidised after all. - Jan 20th 2009, 05:36 AMMush
Unless this is a trick question in which the solution is to look up Harvard policies to see what their maximum class size is! Or what the seating configuration is in their Mathematics lecture halls.

- Feb 2nd 2009, 09:57 PMYendor
- Feb 3rd 2009, 07:37 AMMush