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2.4: T-Shirt Mystery

Difficulty Level: At Grade Created by: CK-12

Can you use clues to solve a mystery? If we know the following clues about Pansy Pelican’s t-shirt, can we figure out which t-shirt is Pansy Pelican's?

Pansy Pelican's t-shirt has:

  • Three shapes with exactly 4 sides
  • Two shapes with 6 corners
  • One circle

Here are the possible t-shirts:

Guidance

In order to solve a mystery like the one above, we can use clues. First, read the first clue. See which t-shirts match the first clue. Then, read the second clue. See which t-shirts match the second clue. Continue as you go through all clues. The correct t-shirt will be the only one that works with all the clues.

Example A

Look at the t-shirts below. We want to figure out which t-shirt belongs to Lucy Goosie.

Our first clue is that Lucy Goosie's t-shirt has one square. Which t-shirts could be Lucy Goosie's?

You should notice that t-shirts A, C, and D all have one square. Any of those t-shirts could be Lucy Goosie's.

Our second clue is that Lucy Goosie's t-shirt has a shape with 3 sides on it. Which of the remaining t-shirts could be Lucy Goosie's?

You should notice that t-shirts A and D have shapes with 3 sides on them. Either of those t-shirts could be Lucy Goosie's.

Our last clue is that Lucy Goosie's t-shirt has one shape with exactly 5 corners on it. Which t-shirt is Lucy Goosie's?

You should notice that t-shirt D must be Lucy Goosie's. It is the only one between t-shirt A and D with a shape with exactly 5 corners on it.

Example B

Look at the t-shirts below. We want to figure out which t-shirt belongs to Edna Elephant.

Our first clue is that Edna Elephant's t-shirt has one shape with exactly 4 sides on it. Which t-shirts could be Edna Elephant's?

You should notice that t-shirts B, and C all have one shape with exactly 4 sides on it. Either of those t-shirts could be Edna Elephant's.

Our second clue is that Edna Elephant's t-shirt has two shapes with 3 corners on it. Which of the remaining t-shirts could be Edna Elephant's?

You should notice that both t-shirts B and C have shapes with 3 corners on them. Either of those t-shirts could be Edna Elephant's.

Our last clue is that Edna Elephant's t-shirt has exactly one circle. Which t-shirt is Edna Elephant's

You should notice that t-shirt B must be Edna Elephant's. It is the only one between t-shirt B and C with exactly one circle on it.

Concept Problem Revisited

Which T-shirt belongs to Pansy Pelican?

Clues: Pansy Pelican’s T-shirt has:

  • Three shapes with exactly 4 sides
  • Two shapes with 6 corners
  • One circle

From the first clue we know that Pansy Pelican's t-shirt must be either B, C, or D. From the second clue we know that her t-shirt must be either B or C. From the third clue we know that her t-shirt must be t-shirt C. Pansy Pelican's t-shirt is C.

Vocabulary

A clue is a piece of information that helps us to solve a puzzle or mystery. When we use clues, we are using deductive reasoning.

Guided Practice

Which T-shirt belongs to Sam Snake?

Clues: Sam Snake’s T-shirt has:

  • Only one shape with exactly 5 corners
  • Only one shape with 4 sides
  • No triangles

Answer:

From the first clue we know that Sam Snake's t-shirt must be either A or B. From the second clue we still know that his t-shirt must be either A or B. From the third clue we know that his t-shirt must be t-shirt A. Sam Snake's t-shirt is A.

Practice

1. Which T-shirt belongs to Katey Kitty?

Clues: Katey Kitty’s T-shirt has:

  • Only one shape with exactly 4 sides
  • Exactly two triangles
  • Exactly one circle

2. Which T-shirt belongs to Orly Otter?

Clues: Orly Otter’s T-shirt has:

  • Exactly 5 shapes
  • Only one shape with exactly 4 sides
  • Exactly two triangles

3. Which T-shirt belongs to Andrea Aardvark?

Clues: Andrea Aardvark’s T-shirt has:

  • Exactly one triangle
  • Exactly three shapes
  • Only one shape with exactly 4 sides

4. Which T-shirt belongs to Bernice Bear?

Clues: Bernice Bear’s T-shirt has:

  • Only one shape with exactly 4 sides
  • Only one shape with exactly 5 sides
  • Exactly one triangle

5. Which T-shirt belongs to Lester Lion?

Clues: Lester Lion’s T-shirt has:

  • Two shapes with 6 sides
  • No triangles
  • Exactly three shapes with 4 sides

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Difficulty Level:
At Grade
Grades:
Date Created:
Jan 18, 2013
Last Modified:
Mar 23, 2016

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