Question

On a final exam, 75 percent of a class had scores that were greater than 70, and 60 percent of the class had scores that were less than 85. What percent of the class had scores that were greater than 70 but less than 85 ?

Answer 1

Answer:

The answer is 35.

35% of the class had scores that were greater than 70 but less than 85.

Step-by-step explanation:

Let's assume the number of students in the class =100

If 75% of the class scored greater than 70, then, it means 25% (100-75) of the scores were less than or equal to 70

In other words, 25 scores were less than or equal to 70.

If 60% of the class had scores that were less than 85, then, it means 40%(100-60) of the scores were greater than or equal to 85

Therefore, of the 100 scores, 25 scores were LESS THAN OR EQUAL to 70, and 40 scores were GREATER THAN OR EQUAL to 85.

We've now accounted for 65 (25+40) scores, which means the remaining 35 (100-65) scores must be between 70 and 85.