The average marks of 28 students in Mathematics was 50;8 students left the school, then average increased by 5. What is the average of marks obtained by the students who left the school?2528.637.540
Question
The average marks of 28 students in Mathematics was 50;8 students left the school, then average increased by 5. What is the average of marks obtained by the students who left the school?2528.637.540
Solution
Step 1: Calculate the total marks of the 28 students. The average marks of 28 students in Mathematics was 50. So, the total marks = average marks * number of students = 50 * 28 = 1400.
Step 2: Calculate the total marks of the 20 students after 8 students left. After 8 students left, the average increased by 5, making it 55. So, the total marks of the remaining 20 students = average marks * number of students = 55 * 20 = 1100.
Step 3: Calculate the total marks of the 8 students who left. The total marks of the 8 students who left = total marks of the original 28 students - total marks of the remaining 20 students = 1400 - 1100 = 300.
Step 4: Calculate the average marks of the 8 students who left. The average marks of the 8 students who left = total marks of the 8 students / number of students = 300 / 8 = 37.5.
So, the average of marks obtained by the students who left the school is 37.5.
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