On Vacation Difficult Logic Puzzle | Woo! Jr. Kids Activities ... - Free Printable

Let’s solve this step by step.

We have 4 families: Smith, Johnson, Clark, Adams
They went to 4 places: Florida, Arizona, California, Canada
Vacation lengths: 2, 4, 6, or 8 days — each used exactly once.

Clues:

1. The Smiths were on vacation 2 days longer than the family that visited Florida.
→ So if Florida = X days, then Smiths = X + 2 days.
Possible pairs: (Florida=2 → Smiths=4), (Florida=4 → Smiths=6), (Florida=6 → Smiths=8).
Can’t be Florida=8 because Smiths would be 10 — not an option.

2. The family that was gone for 4 days visited California.
→ So whoever took 4 days → California.

3. The Clark family visited a destination that starts with “C”.
→ That means either California or Canada.

4. The Johnson family went to Florida for more than 3 days.
→ So Johnson → Florida, and duration > 3 → so 4, 6, or 8 days.
But from clue 2, 4 days = California → so Johnson can’t be 4 days in Florida.
So Johnson → Florida, and duration is 6 or 8 days.

5. The Adams family went to California to visit their grandparents.
→ Adams → California.

Now let’s combine clues.

From clue 5: Adams → California
From clue 2: 4 days → California
So Adams must be the one who took 4 days → Adams = California = 4 days.

That fills in:
Adams → California → 4 days

Now clue 3: Clark → destination starting with “C” → California or Canada.
But California is taken by Adams → so Clark → Canada.

So far:
Adams → California → 4 days
Clark → Canada → ? days

Clue 4: Johnson → Florida → more than 3 days → so 6 or 8 days.

Clue 1: Smiths = Florida_duration + 2

Also, all durations are unique: 2, 4, 6, 8 — we’ve used 4 (Adams), so left: 2, 6, 8

Johnson is in Florida with 6 or 8.

Case 1: Suppose Johnson → Florida → 6 days
Then Smiths = 6 + 2 = 8 days → possible.

Then remaining duration: 2 days → must go to Clark (Canada)

Check if that works:

- Adams: California, 4 days ✔
- Johnson: Florida, 6 days ✔ (>3)
- Smiths: 8 days → where? Not Florida (Johnson has it), not California (Adams), not Canada (Clark) → so must be Arizona.
- Clark: Canada, 2 days ✔ (starts with C)

Now check clue 1: Smiths (8 days) = Florida (6 days) + 2 → yes ✔

All destinations assigned:
- Florida: Johnson
- Arizona: Smiths
- California: Adams
- Canada: Clark

Durations:
- 2 days: Clark
- 4 days: Adams
- 6 days: Johnson
- 8 days: Smiths

Perfect — no conflicts.

What if we tried Johnson → Florida → 8 days?

Then Smiths = 8 + 2 = 10 → invalid. So only possibility is Johnson = 6 days in Florida.

Thus, final assignment:

Smith → Arizona → 8 days
Johnson → Florida → 6 days
Clark → Canada → 2 days
Adams → California → 4 days

Final Answer:
Smith: Arizona, 8 days
Johnson: Florida, 6 days
Clark: Canada, 2 days
Adams: California, 4 days