# Trick-or-Treat Math

Pro Problems > Math > Number and Quantity## Trick-or-Treat Math

Ned, Ted, and Jed go trick-or-treating on Halloween. They divide up their trick-or-treating territory into three regions, and each of the three friends cover a different region. They agree that when they meet up at the end of the evening, they'll divide up the loot evenly among the three of them.

When they meet, they find that they have the following totals:

3 Mars bars

22 Candy Corns

20 Candy Pumpkins

They agree that they should treat the candy corn as the "candy currency" - they are worth the same amount to each of them.

However, Ned says, "I think a Mars bar is worth 10 candy corns, and a candy pumpkin is worth 3 candy corns."

Ted says, "I think a Mars bar is worth 8 candy corns, and a candy pumpkin is worth 2 candy corns."

Jed says, "I think a Mars bar is worth 5 candy corns, and a candy pumpkin is worth 4 candy corns."

Can you help Ned, Ted, and Jed divide their loot in a way that satisfies all of them, without dividing any individual candies into parts?

## Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.## Similar Problems

### Two Numbers

A sheet of paper has two positive integers written on it. The two numbers add to 38. If neither integer is a one-digit number, and neither integer is even, what is the largest possible integer that could be written on the page?

### The Value of a Word

All the letters of the alphabet are assigned a numerical value: A = 1, B = 2, etc., up to Z = 26, and the value of a word is defined to be the product of the numerical values of its letters. For example, the word DOG has a value of 420, because D = 4, O = 15, and G = 7, and 4 x 15 x 7 = 420.

We'll call any sequence of letters a word, even if it isn't an English language word - for example, we'll call XWF a word, even though it has no meaning.

How many three-letter "words" are there that have a numerical value of 12?

# Ask Professor Puzzler

Do you have a question you would like to ask Professor Puzzler? Click here to ask your question!**Get a**

*FREE*Pro-Membership!Educators can get a free membership simply by sharing an original lesson plan on our

*Articles for Educators*page!