# The Mystery of the Missing Candy

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2 Puzzle #1: Here s an addition problem I ve created. What number does the candy corn represent? What number does the M&M represent? Is there more than one possibility? Is your addition in decimal or binary or can both work?

3 Puzzle #2: My friend Mark wants to be a clown for Halloween next year. He has 3 different types of clown pants and 2 types of clown shirts. How many possible clown outfits consisting of a shirt and pants does he have? Challenge: What if he also has two different types of wigs? How many possible clown outfits consisting of a wig, shirt, and pants does he have?

4 Puzzle #3: My friend Tom wants to trade all of his candy for candy corn because he can t eat chocolate. His friend Jerry will trade him: - two candy corn for a Snickers bar - three candy corn for a Milky Way bar - five candy corn for a Reeses Peanut Butter Cup Tom has: - three Snickers bars - eleven Milky Way bars - four Reeses Peanut Butter Cups - ten pieces of candy corn If Tom trades away all his candy that is not candy corn, how much candy corn will he end up with?

5 Puzzle #4: I was very nervous about taking all of your candy at once. - First, I took a third of your candy. - Then I put 10 pieces back. - Then I got greedy and took all the remaining candy, which was 90 pieces! How much candy did you have to begin with? Puzzle #5: The number of pieces of candy I got trick-or-treating subtracted from 300 equals the twice the pieces of candy I got trick-ortreating. How much candy did I get trick-or-treating? After stealing your candy, how much candy do I now have?

6 Puzzle #6: If I went trick-or-treating for an hour and visited a different house every 360 seconds, how many houses did I visit? Puzzle #7: Assuming each house gave me the same amount of candy, how much candy did I get at each house?

7 Puzzle #8: In how many ways can you get from the house on the upper left corner to the house on the lower right corner? Start F Finish Puzzle #9: The house in the upper left corner is my friend Bobby s house. Starting at Bobby s house, him and his friends took the following route trick-or-treating: - walked three houses east - walked two houses south - walked three houses west - walked one house north - walked two houses east - walked one house south

8 Assuming they trick-or-treated at every house they walked by, how many houses did they visit twice? How do they get back to Bobby s house? Puzzle #10: I was so happy that Halloween was on a Saturday this year. What day of the year will it be on next year? (Next year is not a leap year, so it has 365 days).

9 Puzzle #11: Today is November 1 st. My birthday was exactly four weeks ago. When is my birthday? Puzzle #12: My favorite number plus 2 equals twice my favorite number. What is my favorite number?

10 Puzzle #13: In our family, the ages of our mother, father, you, and me add up to 80. Will our ages ever total up to 100? When will this happen? Puzzle #14: Our baby sister is as many months old as I am years old. If you add our ages (in years) together, you get 13. How old am I? Puzzle #15: I am four years older than you. You are now 8 years old. How many years ago were you half my age?

11 Puzzle #16: Here s some possible suspects in our family. Based on the puzzles you solved, who am I? Bill: Birthday: October 4 th, Favorite number: 2, Has 220 pieces of candy, Visited 10 Houses, Age: 12 Darren: Birthday: October 4 th, Favorite number: 21, Has 120 pieces of candy, Visited 10 Houses, Age: 12 Elizabeth: Birthday: September 27 th, Favorite number: 1, Has 200 pieces of candy, Visited 11 Houses visited, Age: 10 Abby: Birthday: October 11 th, Favorite number: 7, Has 220 pieces of candy, Visited 10 Houses, Age: 7

12 Ok, you got me! says the Candy Thief, But I ll only give you back your candy if you solve this final puzzle! Puzzle #17: Here s a different addition problem I have created: What number must the candy corn represent? What number must the M&M represent? Are your numbers in binary or decimal? Why?

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