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The 93 nature camp students ate lunch at the lodge. They sat at an even number of tables. There were 5 students sitting at one table, and an equal number of students sitting at each of the other tables. How many students were sitting at each of the other tables?

Solve by eliminating possibilities. You have to distribute 88 students equally among an even number of tables. There could be 44 tables with 2 each, or 22 with 4 each, or 11 with 8 each, or 8 with 11 each, etc. One choice is more likely (22 with 4) because that is a more reasonable table size.

There is several possible solutions, and for that reason this is not a very good question for teaching math.

Butt

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