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I believe that if you learn more about an author you also learn and understand more of where their coming from. If you know where someones coming from and can put yourself in their shoes than its easiest to comprehend what your reading.
Answer: "I tried several new foods on my trip: sushi, dragon fruit, and lychees." and "Diego studies three kinds of dance: jazz, modern, and tap."
Explanation: In the first and last sentences, there shouldn't be a colon (or any punctuation for that matter) between the verb (call/buy) and the direct object that verb takes (her grandmother, etc./seeds, etc.). In the third sentence, the colon should be placed after <em>collage</em> (it is not an item of the list that follows) and a comma should replace the colon before <em>and.</em>
An example of a cat is when you tickle them and they purr at you.