Question

detective logic puzzles

the pizza mystery
four junior detectives each ordered a different number of pizzas for their secret meeting.
detectives: lucy, peter, mia, and jack
pizza types: cheese, pepperoni, veggie, and mushroom
clues:
lucy had 2 cheese pizzas.
peter had 1 more pizza than lucy.
mia had 1 fewer pizza than peter.
jack had 2 more pizzas than mia.
question: how many pizzas did jack have?

the missing pizza slices
four detectives each had a different kind of pizza.
detectives: lucy, peter, jack, and emma
pizza types: cheese, pepperoni, veggie, and sausage
clues:
lucy did not have pepperoni.
peter had cheese pizza.
jack did not have veggie or sausage.
emma had the pizza with vegetables.
question: what kind of pizza did jack have?

the pizza party count
four junior spies each brought pizzas to the secret meeting.
spies: ava, ben, jack, and mia
clues:
ava brought 1 pizza.
ben brought 2 more pizzas than ava.
mia brought 1 fewer pizza than ben.
jack brought the same number of pizzas as ava and mia combined.
question: how many pizzas did jack bring?

the secret pizza order
four detectives ordered different numbers of pizza slices.
detectives: lucy, peter, jack, and nora
clues:
lucy had 4 slices.
peter had 2 fewer slices than lucy.
jack had 3 more slices than peter.
nora had 1 fewer slice than jack.
question: how many slices did nora have?

Explanation:

🆕 New Concept Discovered: Logic Grid and Elimination Puzzles
Using clues to match items or solve step-by-step word equations.

Here are the step-by-step solutions for all four detective logic puzzles shown in the image.

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Puzzle 1: THE PIZZA MYSTERY

Step 1: Identify Lucy's pizzas

From the first clue:

• Lucy had \( 2 \) cheese pizzas.

Step 2: Calculate Peter's pizzas

From the second clue, "Peter had 1 more pizza than Lucy":

• \(\text{Peter} = 2 + 1 = 3\) pizzas.

Step 3: Calculate Mia's pizzas

From the third clue, "Mia had 1 fewer pizza than Peter":

• \(\text{Mia} = 3 - 1 = 2\) pizzas.

Step 4: Calculate Jack's pizzas

From the fourth clue, "Jack had 2 more pizzas than Mia":

• \(\text{Jack} = 2 + 2 = 4\) pizzas.

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Puzzle 2: THE MISSING PIZZA SLICES

Step 1: List the available pizza types

The four pizza types are: Cheese, Pepperoni, Veggie, and Sausage.

Step 2: Assign pizzas based on direct clues

• Peter had Cheese (from clue 2).
• Emma had Veggie (from clue 4, "pizza with vegetables").

This leaves two pizza types remaining: Pepperoni and Sausage.

Step 3: Determine Jack's pizza by elimination

• Clue 3 states: "Jack did not have veggie or sausage."
• Since Cheese and Veggie are already taken by Peter and Emma, Jack must have either Pepperoni or Sausage.
• Since Jack did not have Sausage, he must have Pepperoni.

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Puzzle 3: THE PIZZA PARTY COUNT

Step 1: Identify Ava's pizzas

From the first clue:

• Ava brought \( 1 \) pizza.

Step 2: Calculate Ben's pizzas

From the second clue, "Ben brought 2 more pizzas than Ava":

• \(\text{Ben} = 1 + 2 = 3\) pizzas.

Step 3: Calculate Mia's pizzas

From the third clue, "Mia brought 1 fewer pizza than Ben":

• \(\text{Mia} = 3 - 1 = 2\) pizzas.

Step 4: Calculate Jack's pizzas

From the fourth clue, "Jack brought the same number of pizzas as Ava and Mia combined":

• \(\text{Jack} = \text{Ava} + \text{Mia} = 1 + 2 = 3\) pizzas.

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Puzzle 4: THE SECRET PIZZA ORDER

Step 1: Identify Lucy's slices

From the first clue:

• Lucy had \( 4 \) slices.

Step 2: Calculate Peter's slices

From the second clue, "Peter had 2 fewer slices than Lucy":

• \(\text{Peter} = 4 - 2 = 2\) slices.

Step 3: Calculate Jack's slices

From the third clue, "Jack had 3 more slices than Peter":

• \(\text{Jack} = 2 + 3 = 5\) slices.

Step 4: Calculate Nora's slices

From the fourth clue, "Nora had 1 fewer slice than Jack":

• \(\text{Nora} = 5 - 1 = 4\) slices.

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Answer:

• THE PIZZA MYSTERY: Jack had 4 pizzas.
• THE MISSING PIZZA SLICES: Jack had Pepperoni pizza.
• THE PIZZA PARTY COUNT: Jack brought 3 pizzas.
• THE SECRET PIZZA ORDER: Nora had 4 slices.