In a recent transportation survey, 500 high school seniors were asked to check the appropriate box or boxes on the following form.
I own an automobile.
I own a motorcycle.
The results were tabulated as follows: 91 checked the automobile box, 125 checked the motorcycle box, and 27 checked both boxes.
(a) In the above Venn Diagram, Region A represents students owning automobiles and Region $M$ represents students owning mo Determine each value on the Venn diagram.
\[
\begin{array}{l}
x=27 \\
y=64 \\
z=98 \\
w=311
\end{array}
\]
(b) What percent of these students own an automobile or a motorcycle? (Round your answer to one decimal place.) $\%$

Step 1 ：Let's denote the number of students who own an automobile as \(automobile_owners = 91\)

Step 2 ：Let's denote the number of students who own a motorcycle as \(motorcycle_owners = 125\)

Step 3 ：Let's denote the number of students who own both an automobile and a motorcycle as \(both_owners = 27\)

Step 4 ：Let's denote the total number of students as \(total_students = 500\)

Step 5 ：The number of students who own either an automobile or a motorcycle can be calculated by adding the number of students who own an automobile and the number of students who own a motorcycle, and subtracting the number of students who own both to avoid double counting. So, \(either_owners = automobile_owners + motorcycle_owners - both_owners = 189\)

Step 6 ：The percentage of students who own either an automobile or a motorcycle can be calculated by dividing the number of students who own either an automobile or a motorcycle by the total number of students and multiplying by 100. So, \(percentage = \frac{either_owners}{total_students} \times 100 = 37.8\)

Step 7 ：Final Answer: The percentage of students who own either an automobile or a motorcycle is \(\boxed{37.8\%}\)