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Step-by-step solution for: Printable Logic Puzzles for Kids | Woo! Jr. Kids Activities ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable Logic Puzzles for Kids | Woo! Jr. Kids Activities ...
Let’s solve this step by step.
We have 4 families: Smiths, Johnsons, Clarks, Adams.
They went to 4 places: Florida, Arizona, California, Canada.
Vacation lengths: 2, 4, 6, or 8 days.
We’ll use the clues one by one to fill in the grid.
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Clue 1: The Smiths were on vacation 2 days longer than the family that visited Florida.
→ So Smiths ≠ Florida (obviously), and if Florida = X days, Smiths = X + 2.
Possible pairs:
- If Florida = 2 → Smiths = 4
- If Florida = 4 → Smiths = 6
- If Florida = 6 → Smiths = 8
- Florida can’t be 8 (no 10-day option)
So possible: (Florida=2, Smiths=4), (Florida=4, Smiths=6), (Florida=6, Smiths=8)
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Clue 2: The family that went for 4 days visited California.
→ So whoever has 4 days → California.
That means California = 4 days.
So we can mark: California → 4 days.
Now, from Clue 1: Smiths = Florida + 2.
But California is already taken by 4 days → so Smiths cannot be 4 days? Wait — no, Smiths could still be 4 days only if Florida = 2. But if California = 4, then Smiths can’t be California unless they’re the 4-day family.
Wait — let’s think:
If Smiths = 4 days → then they must have gone to California (from Clue 2). But Clue 1 says Smiths = Florida + 2 → so Florida would be 2 days.
Is that possible? Let’s hold that thought.
Alternatively, if Smiths = 6 → Florida = 4 → but California = 4 → conflict! Because Florida and California can’t both be 4 days.
Similarly, if Smiths = 8 → Florida = 6 → possible.
So two options:
Option A: Florida = 2, Smiths = 4 → but then Smiths = California (from Clue 2) → so Smiths = California = 4 days, Florida = 2 days.
Option B: Florida = 6, Smiths = 8 → then California = 4 (from Clue 2), so Florida = 6, Smiths = 8, California = 4 → leaves 2 days for someone else.
Let’s keep both open for now.
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Clue 3: The Clark family visited a destination that starts with “C”.
Destinations: Florida, Arizona, California, Canada → “C” ones: California, Canada.
So Clark → California or Canada.
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Clue 4: The Johnson family went to Florida for more than 3 days.
→ Johnson → Florida, and days > 3 → so 4, 6, or 8 days.
But from Clue 2: 4 days → California → so Johnson can’t be 4 days if they went to Florida.
So Johnson → Florida, and days = 6 or 8.
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Clue 5: The Adams family went to California to visit their grandparents.
→ Adams → California.
And from Clue 2: California = 4 days → so Adams = 4 days.
Great! So:
Adams → California → 4 days.
Now, from Clue 3: Clark → California or Canada → but California is taken by Adams → so Clark → Canada.
So Clark → Canada.
Now, destinations left: Florida, Arizona.
Families left: Smiths, Johnsons.
From Clue 4: Johnson → Florida, and >3 days → so 6 or 8.
From Clue 1: Smiths = Florida + 2.
But Johnson is going to Florida → so Florida = Johnson’s days.
So Smiths = Johnson’s days + 2.
Johnson’s days = 6 or 8.
If Johnson = 6 → Smiths = 8.
If Johnson = 8 → Smiths = 10 → impossible.
So Johnson = 6 → Smiths = 8.
Then Florida = 6 days (Johnson).
Smiths = 8 days.
What destination for Smiths? Not Florida (Johnson), not California (Adams), not Canada (Clark) → so Smiths → Arizona.
And days: 8.
Now, what’s left?
Families:
- Adams → California → 4 days
- Clark → Canada → ? days
- Johnson → Florida → 6 days
- Smiths → Arizona → 8 days
Days used: 4, 6, 8 → left: 2 days → must be Clark → Canada → 2 days.
Check Clue 1: Smiths (8) = Florida (6) + 2 → yes.
Clue 2: 4 days → California → Adams → yes.
Clue 3: Clark → Canada → starts with C → yes.
Clue 4: Johnson → Florida → 6 days > 3 → yes.
Clue 5: Adams → California → yes.
Perfect.
Now, let’s fill the grid:
Rows: Smith, Johnson, Clark, Adams
Columns: Florida, Arizona, California, Canada, 2 days, 4 days, 6 days, 8 days
We need to mark where each family went and how long.
Smiths: Arizona, 8 days → so check Arizona and 8 days
Johnsons: Florida, 6 days → Florida and 6 days
Clarks: Canada, 2 days → Canada and 2 days
Adams: California, 4 days → California and 4 days
Now, let’s write it clearly.
Final assignments:
- Smiths: Arizona, 8 days
- Johnsons: Florida, 6 days
- Clarks: Canada, 2 days
- Adams: California, 4 days
All clues satisfied.
Final Answer:
Smiths: Arizona, 8 days
Johnsons: Florida, 6 days
Clarks: Canada, 2 days
Adams: California, 4 days
We have 4 families: Smiths, Johnsons, Clarks, Adams.
They went to 4 places: Florida, Arizona, California, Canada.
Vacation lengths: 2, 4, 6, or 8 days.
We’ll use the clues one by one to fill in the grid.
---
Clue 1: The Smiths were on vacation 2 days longer than the family that visited Florida.
→ So Smiths ≠ Florida (obviously), and if Florida = X days, Smiths = X + 2.
Possible pairs:
- If Florida = 2 → Smiths = 4
- If Florida = 4 → Smiths = 6
- If Florida = 6 → Smiths = 8
- Florida can’t be 8 (no 10-day option)
So possible: (Florida=2, Smiths=4), (Florida=4, Smiths=6), (Florida=6, Smiths=8)
---
Clue 2: The family that went for 4 days visited California.
→ So whoever has 4 days → California.
That means California = 4 days.
So we can mark: California → 4 days.
Now, from Clue 1: Smiths = Florida + 2.
But California is already taken by 4 days → so Smiths cannot be 4 days? Wait — no, Smiths could still be 4 days only if Florida = 2. But if California = 4, then Smiths can’t be California unless they’re the 4-day family.
Wait — let’s think:
If Smiths = 4 days → then they must have gone to California (from Clue 2). But Clue 1 says Smiths = Florida + 2 → so Florida would be 2 days.
Is that possible? Let’s hold that thought.
Alternatively, if Smiths = 6 → Florida = 4 → but California = 4 → conflict! Because Florida and California can’t both be 4 days.
Similarly, if Smiths = 8 → Florida = 6 → possible.
So two options:
Option A: Florida = 2, Smiths = 4 → but then Smiths = California (from Clue 2) → so Smiths = California = 4 days, Florida = 2 days.
Option B: Florida = 6, Smiths = 8 → then California = 4 (from Clue 2), so Florida = 6, Smiths = 8, California = 4 → leaves 2 days for someone else.
Let’s keep both open for now.
---
Clue 3: The Clark family visited a destination that starts with “C”.
Destinations: Florida, Arizona, California, Canada → “C” ones: California, Canada.
So Clark → California or Canada.
---
Clue 4: The Johnson family went to Florida for more than 3 days.
→ Johnson → Florida, and days > 3 → so 4, 6, or 8 days.
But from Clue 2: 4 days → California → so Johnson can’t be 4 days if they went to Florida.
So Johnson → Florida, and days = 6 or 8.
---
Clue 5: The Adams family went to California to visit their grandparents.
→ Adams → California.
And from Clue 2: California = 4 days → so Adams = 4 days.
Great! So:
Adams → California → 4 days.
Now, from Clue 3: Clark → California or Canada → but California is taken by Adams → so Clark → Canada.
So Clark → Canada.
Now, destinations left: Florida, Arizona.
Families left: Smiths, Johnsons.
From Clue 4: Johnson → Florida, and >3 days → so 6 or 8.
From Clue 1: Smiths = Florida + 2.
But Johnson is going to Florida → so Florida = Johnson’s days.
So Smiths = Johnson’s days + 2.
Johnson’s days = 6 or 8.
If Johnson = 6 → Smiths = 8.
If Johnson = 8 → Smiths = 10 → impossible.
So Johnson = 6 → Smiths = 8.
Then Florida = 6 days (Johnson).
Smiths = 8 days.
What destination for Smiths? Not Florida (Johnson), not California (Adams), not Canada (Clark) → so Smiths → Arizona.
And days: 8.
Now, what’s left?
Families:
- Adams → California → 4 days
- Clark → Canada → ? days
- Johnson → Florida → 6 days
- Smiths → Arizona → 8 days
Days used: 4, 6, 8 → left: 2 days → must be Clark → Canada → 2 days.
Check Clue 1: Smiths (8) = Florida (6) + 2 → yes.
Clue 2: 4 days → California → Adams → yes.
Clue 3: Clark → Canada → starts with C → yes.
Clue 4: Johnson → Florida → 6 days > 3 → yes.
Clue 5: Adams → California → yes.
Perfect.
Now, let’s fill the grid:
Rows: Smith, Johnson, Clark, Adams
Columns: Florida, Arizona, California, Canada, 2 days, 4 days, 6 days, 8 days
We need to mark where each family went and how long.
Smiths: Arizona, 8 days → so check Arizona and 8 days
Johnsons: Florida, 6 days → Florida and 6 days
Clarks: Canada, 2 days → Canada and 2 days
Adams: California, 4 days → California and 4 days
Now, let’s write it clearly.
Final assignments:
- Smiths: Arizona, 8 days
- Johnsons: Florida, 6 days
- Clarks: Canada, 2 days
- Adams: California, 4 days
All clues satisfied.
Final Answer:
Smiths: Arizona, 8 days
Johnsons: Florida, 6 days
Clarks: Canada, 2 days
Adams: California, 4 days
Parent Tip: Review the logic above to help your child master the concept of free printable logic puzzles with solutions.