Question

A Garden Puzzle: My neighbor planted her garden with 5 tomato plants, 5 pepper plants, 5 eggplant plants, 5 lettuce plants, and 5 zucchini plants. Her garden is a square of 5 rows of 5 plants each. Each row and each column has exactly 1 plant of each variety and so do the center diagonals. How might the plants be arranged? Problem.

Answer 1

To arrange the plants in the garden, each row and each column must have exactly 1 plant of each variety, and the center diagonals must also have one of each plant. Following a specific pattern, we can arrange the plants in the garden in a way that satisfies these conditions.

Step-by-step explanation:

The given conditions state that each row and each column in the garden has exactly 1 tomato plant, 1 pepper plant, 1 eggplant plant, 1 lettuce plant, and 1 zucchini plant, and the center diagonals also have one of each plant. We can imagine the garden as a square grid with 5 rows and 5 columns. To arrange the plants in such a way, we can follow the pattern below:

1. First Row: Tomato, Pepper, Eggplant, Lettuce, Zucchini

2. Second Row: Zucchini, Tomato, Pepper, Eggplant, Lettuce

3. Third Row: Lettuce, Zucchini, Tomato, Pepper, Eggplant

4. Fourth Row: Eggplant, Lettuce, Zucchini, Tomato, Pepper

5. Fifth Row: Pepper, Eggplant, Lettuce, Zucchini, Tomato

By following this pattern, each row and each column will have exactly 1 plant of each variety, and the center diagonals will also have one of each plant.