Mrs. Nielson is rewarding her math students for all doing wellon a test. She pas

Question

Mrs. Nielson is rewarding her math students for all doing wellon a test.   She passes out 50 pieces of candy,one-by-one, and starts over in the same order after every studentgets one piece. Each student takes a piece of candy in turn,until the plate is empty. Sherwood gets the first piece andhe also gets the next-to the last piece. How many studentscould be in the class for this to be possible, if the minimum classsize in the school is 20 students?

There could be _______ or ________ students in the class

Explanation / Answer

IF there is 50 pieces of candy, and he is the first person andthe second to last, there has to be an even number ofstudents. There also has to be enough to be a multiple of 48, becausestarting the rotation over with the 49th piece of candy would makehim the second to last person to get one. So the two multiples of48 that are over 20 and less than 50 are 24 and 48

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