#### Answer

175 would purchase neither.
125 would only buy a car.

#### Work Step by Step

There are three sets of people in this exercise:
$U$ is all of the people asked in the survey.
$A$ is the people who would buy a car.
$B$ is the people who would purchase a major appliance.
$n(U)=500$
$n(A)=150$
$n(B)=200$
$n(A\cap B)=25$
Using the Counting Formula for sets:
$n(A\cup B)=n(A)+n(B)-n(A\cap B)=150+200-25=325$
325 people would purchase any of these options; therefore, $500-325=175$ would buy neither.
There are 150 people who would buy a car. 25 of them would purchase a major appliance, too. Therefore, $150-25=125$ would only buy a car.