Final answer:
Persephone will need 180 pounds of soil to create her flower garden.
Step-by-step explanation:
To calculate the amount of soil Persephone will need for her garden, we first need to find the area of the garden. Since the garden's length is four yards, which is equivalent to 12 feet (1 yard = 3 feet), and the width is 6 inches, we need to convert the width to feet as well. Since 12 inches make a foot, this means the width is 0.5 feet (6 inches / 12). The area of the garden is then calculated by multiplying the length and width: 12 feet * 0.5 feet = 6 square feet.
Next, we multiply the area of the garden (6 square feet) by the amount of soil needed per square foot (30 pounds) to find the total amount of soil needed: 6 square feet * 30 pounds per square foot = 180 pounds of soil.
Therefore, Persephone will need 180 pounds of soil to create her flower garden.