After every ninth visit to a restaurant, you receive a free beverage. After every twelfth visit, you receive a free appetizer. If you visit the restaurant 100 times, on which visits will you receive both a free beverage and a free appetizer? On which visit will you first receive both a free beverage and a free appetizer?

what you need to do is find the multiples of 9 and 12 less than 100 and find their common multiples.
in this case, multiples of 9 = 18, 27,** 36**, 45, 54, 63, 72, 81, 90, 99 multiples of 12 = 24, 36 , 48, 60, 72 , 84, 96
so, the the visit that represents the common multiples are the visit in which you get the both prixes. So, you will recieve free beverages and appetizers on your 36th and 72nd visit.
And, at the 36th visit you will first recieve a free beverages and a appetizer

Answered by rabinshrestha41 | 2024-06-10

36th because 9 4=36 and 12 3=36 ;

Answered by lionking6021 | 2024-06-12

You will receive both a free beverage and a free appetizer on visits 36 and 72, with the first occurrence at visit 36.
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Answered by rabinshrestha41 | 2024-10-02