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 36 and 37 , the student must get at least_______points on third exam to have an average of 60 in the course.

Answer 1

The student needs at least 107 points on the third exam to achieve a passing grade of 60 on average for the three exams.

Step-by-step explanation:

The student must calculate the minimum score they need on the third exam to achieve a passing average of 60 for all three exams. We start by finding out the total points needed for a passing grade. Since the average is the total points divided by the number of exams, the student needs to achieve a total of 60 x 3 = 180 points. The student has already earned 36 points on the first exam and 37 points on the second exam, totaling 73 points. To find the minimum score needed on the third exam, we subtract the points already earned from the total points required:

180 points (required) - 73 points (earned) = 107 points.

Therefore, the student needs to score at least 107 points on their third exam to get an average of 60 and pass the course. This is a straightforward application of the mathematical concept of calculating an average.