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Hi! I am Studyfin, your friendly math tutor. Today, we will learn how to solve logic grids using a smart problem-solving model!
A logic grid is a puzzle where you use clues to match items. To solve it, we must analyze the given information. We record what we know on a grid using checks and Xs.
Our first step is to formulate a plan. When a clue tells us a match is true, we put a green checkmark in that box. We can then put red Xs in the rest of that row and column.
Next, we determine a solution and justify it. If a row has all Xs except for one empty spot, that last spot must be a checkmark. This helps us solve the rest of the puzzle.
Finally, we evaluate our process. We double-check our grid against the clues to make sure our solution makes sense. This ensures our final answer is completely reasonable.
Two friends, Sam and Joy, own different pets: a dog and a cat. Clue: Sam does not own a cat. Use our problem-solving model to find out who owns the dog.
- Analyze: We have two people (Sam, Joy) and two pets (dog, cat). The clue says Sam does not own a cat.
- Plan: Create a 2x2 grid. Put an X in the box where Sam and cat meet.
- Solve: Since Sam does not own the cat, Sam must own the dog. Put a checkmark in the Sam-dog box.
- Justify: Since Sam owns the dog, Joy cannot own the dog. Put an X in the Joy-dog box. That leaves the cat for Joy. Put a checkmark in the Joy-cat box.
- Evaluate: Check the clues. Sam has a dog, and Joy has a cat. Sam does not have a cat. The solution matches all clues perfectly!
