Printable Logic Puzzles for Kids | Woo! Jr. Kids Activities ... - Free Printable

Problem Analysis:

We are tasked with determining where each family (the Smiths, Johnsons, Clarks, and Adams) went on vacation based on the clues provided. The destinations are Florida, Arizona, California, or Canada. Each family's vacation duration is also given as either 2 days, 4 days, 6 days, or 8 days.

Clues:

1. The Smiths were on vacation 2 days longer than the family that visited Florida.
2. The family that gave 4 days visited California.
3. The Clark family visited a destination that starts with "C."
4. The Johnson family went to Florida for more than 2 days.
5. The Adams family went to California to visit their grandparents.

Step-by-Step Solution:

#### Step 1: Organize the Information
- Destinations: Florida, Arizona, California, Canada.
- Vacation durations: 2 days, 4 days, 6 days, 8 days.
- Families: Smiths, Johnsons, Clarks, Adams.

#### Step 2: Analyze Each Clue

Clue 1:
"The Smiths were on vacation 2 days longer than the family that visited Florida."
- This means the Smiths' vacation duration is 2 days more than the duration of the family that visited Florida.
- If the family visiting Florida stayed for 2 days, the Smiths stayed for 4 days.
- If the family visiting Florida stayed for 4 days, the Smiths stayed for 6 days.
- If the family visiting Florida stayed for 6 days, the Smiths stayed for 8 days.

Clue 2:
"The family that gave 4 days visited California."
- This directly tells us that the family who stayed for 4 days visited California.

Clue 3:
"The Clark family visited a destination that starts with 'C.'"
- This means the Clark family visited either California or Canada.

Clue 4:
"The Johnson family went to Florida for more than 2 days."
- This means the Johnson family stayed in Florida for either 4 days, 6 days, or 8 days.

Clue 5:
"The Adams family went to California to visit their grandparents."
- This directly tells us that the Adams family visited California.

#### Step 3: Solve Using Logical Deduction

1. From Clue 5:
- The Adams family visited California.
- From Clue 2, the family that visited California stayed for 4 days.
- Therefore, the Adams family stayed for 4 days.

2. From Clue 4:
- The Johnson family went to Florida for more than 2 days.
- Since the Adams family already took the 4-day vacation, the Johnson family must have stayed for either 6 days or 8 days.

3. From Clue 3:
- The Clark family visited a destination starting with "C," so they visited either California or Canada.
- Since California is already taken by the Adams family, the Clark family must have visited Canada.

4. From Clue 1:
- The Smiths were on vacation 2 days longer than the family that visited Florida.
- The Johnson family visited Florida, and they stayed for either 6 days or 8 days.
- If the Johnson family stayed for 6 days, the Smiths would stay for 8 days.
- If the Johnson family stayed for 8 days, the Smiths would stay for 10 days, which is not possible since the maximum duration is 8 days.
- Therefore, the Johnson family stayed for 6 days, and the Smiths stayed for 8 days.

5. Assign Remaining Information:
- The Johnson family visited Florida for 6 days.
- The Adams family visited California for 4 days.
- The Clark family visited Canada for 2 days (since the only remaining duration is 2 days).
- The Smiths visited Arizona for 8 days (since the only remaining destination is Arizona).

Final Answer:

- Smiths: Arizona (8 days)
- Johnson: Florida (6 days)
- Clark: Canada (2 days)
- Adams: California (4 days)

$$
\boxed{
\begin{array}{c|c|c}
\text{Family} & \text{Destination} & \text{Duration} \\
\hline
\text{Smiths} & \text{Arizona} & 8 \text{ days} \\
\text{Johnsons} & \text{Florida} & 6 \text{ days} \\
\text{Clarks} & \text{Canada} & 2 \text{ days} \\
\text{Adams} & \text{California} & 4 \text{ days} \\
\end{array}
}
$$