Question

zane owns a restaurant, which features wings and ice cream. he is considering two new flavors of wings: parmesan garlic and mango habanero. zane tested the new flavors on 100 people and obtained the following results: 53 liked parmesan garlic; 38 liked both; 15 did not like either. use a venn diagram to complete parts (a) and (b). (a) how many people liked only mango habanero? (type a whole number.)

Explanation:

Step1: Find number of people who liked at least one flavor

The total number of people is 100 and 15 did not like either. So the number of people who liked at least one flavor is $100 - 15=85$.

Step2: Find number of people who liked only parmesan - garlic

The number of people who liked parmesan - garlic is 53 and 38 liked both. So the number of people who liked only parmesan - garlic is $53 - 38 = 15$.

Step3: Find number of people who liked only mango habanero

Let the number of people who liked only mango habanero be $x$. We know that the number of people who liked at least one flavor is the sum of those who liked only parmesan - garlic, only mango habanero and both. So $x+15 + 38=85$. Solving for $x$, we get $x=85-(15 + 38)=32$.

Answer:

32