Answer in Combinatorics | Number Theory for George #142751

Question #142751

A local restaurant is offering a free meal to every 25th customer and a free hat to every 12th
customer. Which customer will be the first to get both a free meal and a free hat?

Expert's answer

The Least Common Multiple for the integers 25 and 12 is $25*12=300.$

Thus, 300th customer will be the first to get both a free meal and a free hat.

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