The sentence that requires semicolons instead of commas is:
"A well-balanced diet includes root vegetables such as carrots, dark red fruits, such as strawberries, and whole grains, such as brown rice."
This sentence includes items in a list that contain internal commas, making it difficult to discern where each item begins and ends. Correctly punctuating this sentence with semicolons would clarify the list:
"A well-balanced diet includes root vegetables, such as carrots; dark red fruits, such as strawberries; and whole grains, such as brown rice."