Da Tulio€™s Restaurant hired Dennis to determine what kind of appetizers customers liked. He surveyed 100 people, with the following results:

78 liked shrimp cocktail, 56 liked mozzarella sticks, and 35 liked both shrimp cocktail and mozzarella sticks. Every person interviewed liked one or the other or both kinds of appetizers. Does this result seem correct? Explain your answer.

Draw a Venn diagram to obtain the answers.