Question

In a class at a major university, three tests are given during the semester. At the beginning of the semester, there are x students in the class. Every student in the class takes the first test, and the average on the first test is 72%. After the first test, 20% of the students drop the class. Every student remaining in the class takes the second test, and the average on the second test is 75%. After the second test, 248 students drop the class. Every student remaining in the class takes the third test, and the average on the third test is 76%. If the average of all of the students’ tests during the semester was 74%, then how many students were originally in the class? (Remember: Your answer must show appropriate work or reasoning.)

Answer 1