A Fast Food Restaurant Sells Chicken in Orders of 6, 9, and 20. What is the Largest Number of Pieces of Chicken you Cannot Order from this Restaurant?

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This one will require you to do a little math, but it is one of our most popular riddles, can you figure out the answer? Good luck!

Riddle:

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It’s not as simple as you thought, right?

And the answer is…

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After 6 all numbers divisible by 3 can be ordered (because they can all be expressed as a sum of 6’s and 9’s). After 26, all numbers divisible by three when subtracted by 20 can be obtained. After 46, all numbers divisible by three when subtracted by 40 can be obtained. After 46, all numbers fit into one of these 3 categories, so all numbers can be obtained. 43 is the last number that doesn’t fall into one of these categories (44 = 20 + 6 * 4, 45 = 6 * 6 + 9).

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