PSAT Math Multiple-Choice Question 156: Answer and Explanation

Question: 156

What is the difference, to the nearest whole percent, between the percentage of patients in the experimental physical therapy with a recovery time of more than 6 months and the percentage of patients in the conventional physical therapy who had a recovery time of more than 6 months?

• A. 10%
• B. 8%
• C. 6%
• D. 4%

Correct Answer: A

Explanation:

A

The question asks for the difference between the percentage of patients in the experimental physical therapy with a recovery time of more than 6 months and the percentage of patients in the conventional physical therapy with a recovery time of more than 6 months. Find both percentages. There was a total of 82 + 112 = 194 patients in the experimental physical therapy, 112 of whom had a recovery time of more than 6 months. Therefore, the percentage is . There was a total of 151 + 140 = 291 patients in the conventional physical therapy, 140 of whom had a recovery time of more than 6 months. Therefore, that percentage is . To find the difference, subtract to get 57.731 - 48.11 = 9.621. The question asks for the difference rounded to the nearest percent, so the correct answer is (A).