Does anyone *really* like fruitcake? Grown-ups who get a fruitcake as a present sometimes re-gift it to someone else to get rid of it – and now, they can throw it. Today is National Fruitcake Toss Day, and every year a town in Colorado holds a big contest to find out which kid can toss fruitcake the farthest. They throw it using a catapult — a big machine with a long arm for flinging things — and as you’ll see from the math, fruitcake can fly far and fast.

*Wee ones:* If your fruitcake has raisins, craisins, and apricot in it, how many types of fruit does it mash together?

*Little kids:* If you toss your 6th fruitcake, then your 7th, then your 8th, what number fruitcake do you toss next? *Bonus:* If each fruitcake uses 4 cups of dried fruit, how many cups do you need to make your next 2 fruitcakes?

*Big kids:* If your catapult has a 5-foot-long arm and can hurl a fruitcake 5 times as far as that, how far will it fly? *Bonus:* If you want the fruitcake to fly 80 feet, how long would the arm have to be if it always throws 5 times its length?

Answers:

*Wee ones:* 3 types of fruit.

*Little kids:* Your 9th fruitcake. *Bonus:* 8 cups.

*Big kids:* 25 feet. *Bonus:* 16 feet long.