Question

College students are a major target for advertisements for credit cards. At a university, 65% of students surveyed said they had opened a new credit card account within the past year. If that percentage is accurate and you survey 100,000 college students in California, how many students would you expect to not have opened a new credit card account

Answer 1

35,000 students did not open a new credit card account

Explanation:

If 65% of students surveyed said they opened a new credit card account, the percentage of students that did not open a new credit card account is calculated as follows:

Total percentage = 100%

100% = 65% + (% of students that did not open a new account)

100 - 65 = % of students that did not open a new account

∴ % of students that did not open a new account = 100 - 65 = 35%

Next, let us convert this percentage to actual number

Total number of Students surveyed = 100,000

% of students that did not open a new account = 35%

35% of 100,000

= 35/100 × 100,000

= 0.35 × 100,000 = 35,000