Question

the owner of a restaurant randomly sampled 100 customers to determine their favorite dessert combinations. the results of the survey are shown in the venn diagram. what percentage of these customers preferred a dessert consisting of just one item? %

Explanation:

Step1: Identify number of customers who prefer one - item desserts

Add the number of customers in the non - overlapping parts of the Venn diagram. For cake only: 25, for pie only: 15, for cookie only: 10. So the total number of customers who prefer one - item desserts is $25 + 15+10=50$.

Step2: Calculate the percentage

The total number of sampled customers is 100. The percentage formula is $\frac{\text{Number of favorable cases}}{\text{Total number of cases}}\times100\%$. So the percentage is $\frac{50}{100}\times 100\% = 50\%$.

Answer:

50