Logic Grid Puzzle for Kids | Woo! Jr. Kids Activities : Childrens ... - Free Printable

Problem Overview:

We need to determine the team captains and the finishing positions of four teams (Red, Black, Green, and Purple) based on the given clues. The students involved are Amy, Cathy, Frank, and James.

Clues:

1. Amy was the captain of the red team and did not finish last.
2. The team that placed first wore black jerseys.
3. The purple team placed third with James as captain.
4. Cathy’s team did not place 4th.

Solution Approach:

We will use a logic grid to organize the information and deduce the solution step by step.

#### Step 1: Set up the grid
We have two grids:
- One for assigning captains to teams.
- One for determining the finishing positions.

#### Step 2: Analyze each clue

##### Clue 1: "Amy was the captain of the red team and did not finish last."
- Assign Amy as the captain of the Red team.
- Mark that Amy's team (Red) did not finish in 4th place.

##### Clue 2: "The team that placed first wore black jerseys."
- The Black team finished in 1st place.

##### Clue 3: "The purple team placed third with James as captain."
- James is the captain of the Purple team.
- The Purple team finished in 3rd place.

##### Clue 4: "Cathy’s team did not place 4th."
- Cathy’s team cannot be in 4th place.

#### Step 3: Fill in the grid based on the clues

##### Initial assignments:
- From Clue 1: Amy → Red team.
- From Clue 3: James → Purple team.
- From Clue 2: Black team → 1st place.
- From Clue 3: Purple team → 3rd place.

##### Remaining assignments:
- We need to assign captains to the Black and Green teams.
- We also need to determine the finishing positions for the Red and Green teams.

##### Deductions:
1. Amy is the captain of the Red team (Clue 1).
- Red team cannot be in 4th place (Clue 1).
- Red team cannot be in 1st place (Black team is in 1st place, Clue 2).
- Red team cannot be in 3rd place (Purple team is in 3rd place, Clue 3).
- Therefore, the Red team must be in 2nd place.

2. James is the captain of the Purple team (Clue 3).
- Purple team is in 3rd place (Clue 3).

3. Cathy’s team did not place 4th (Clue 4).
- Since Red (2nd), Black (1st), and Purple (3rd) are already assigned, Green must be in 4th place.
- Therefore, Cathy must be the captain of the Green team (since she cannot be Amy or James, and Frank is the only remaining option for the Black team).

4. Frank is the captain of the Black team:
- Black team is in 1st place (Clue 2).

#### Final Assignments:
- Captains:
- Amy → Red team.
- Frank → Black team.
- Cathy → Green team.
- James → Purple team.

- Finishing Positions:
- Black team (Frank) → 1st place.
- Red team (Amy) → 2nd place.
- Purple team (James) → 3rd place.
- Green team (Cathy) → 4th place.

Final Answer:

\[
\boxed{
\begin{array}{c|c|c|c|c}
& \text{Red Captain} & \text{Black Captain} & \text{Green Captain} & \text{Purple Captain} \\
\hline
\text{Amy} & \checkmark & & & \\
\hline
\text{Cathy} & & & \checkmark & \\
\hline
\text{Frank} & & \checkmark & & \\
\hline
\text{James} & & & & \checkmark \\
\end{array}
\quad
\begin{array}{c|c|c|c|c}
& 1^\text{st} & 2^\text{nd} & 3^\text{rd} & 4^\text{th} \\
\hline
\text{Black} & \checkmark & & & \\
\hline
\text{Red} & & \checkmark & & \\
\hline
\text{Purple} & & & \checkmark & \\
\hline
\text{Green} & & & & \checkmark \\
\end{array}
}
\]