Question

A student's grade is based on the average of three exams, where an average of 60 is a passing grade.

If the student's grade on the first two exams is 24 and 55, the student must get at least
_______ points on third exam to have an average of 60 in the course.

Answer 1

The student must score at least 101 points on the third exam to achieve a passing average of 60 for the course.

Step-by-step explanation:

To find the score a student needs on the third exam to achieve a final average of 60, we must first understand that an average is found by adding all numbers together and then dividing by the number of entries. In this case, the exams. So, if the first two scores are 24 and 55, we want the sum of all three exams to equal 60 multiplied by the number of exams, which is 3.

The equation to find the needed third exam score (let's call it T) is:

(24 + 55 + T) / 3 = 60

To solve for T, multiply both sides by 3:

24 + 55 + T = 180

Then combine the scores from the first two exams:

79 + T = 180

Finally, subtract 79 from both sides to find T:

T = 180 - 79

T = 101

Therefore, the student must score at least 101 points on the third exam to pass the course with an average of 60.