Question

a group of seniors decide to spend their spring break away from home, attending at least one major event. the following table summarizes their preferences.

	stay in state	travel out of state
attend a festival	186	59

what percent want to attend a festival, given that they want to travel out of state?

Explanation:

Step1: Calculate total number of students who want to travel out - of - state

The number of students who want to travel out of state is the sum of those who travel out of state and attend a concert and those who travel out of state and attend a festival. So, $391 + 59=450$.

Step2: Calculate the number of students who want to travel out of state and attend a festival

The number of students who want to travel out of state and attend a festival is 59.

Step3: Calculate the percentage

The formula for percentage is $\text{Percentage}=\frac{\text{Number of favorable cases}}{\text{Total number of cases}}\times100$. Here, the favorable cases are students who want to attend a festival given they want to travel out of state. So the percentage is $\frac{59}{450}\times 100=\frac{5900}{450}\approx13.11\%$.

Answer:

13.11%