2.4: T-Shirt Mystery
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
Image Attributions
Students use clues to determine the correct t-shirt from 4 choices.