In a class of 100 students, there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average marks of the girls?Options64687465
Question
In a class of 100 students, there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average marks of the girls?Options64687465
Solution
To solve this problem, we first need to find the total marks of all students and the total marks of the boys.
Step 1: Calculate the total marks of all students. The average marks of the complete class is 72. So, the total marks of all students is 72 * 100 = 7200.
Step 2: Calculate the total marks of the boys. The average marks of the boys is 75. So, the total marks of the boys is 75 * 70 = 5250.
Step 3: Calculate the total marks of the girls. The total marks of the girls is the total marks of all students minus the total marks of the boys. So, the total marks of the girls is 7200 - 5250 = 1950.
Step 4: Calculate the average marks of the girls. The number of girls is the total number of students minus the number of boys. So, the number of girls is 100 - 70 = 30. The average marks of the girls is the total marks of the girls divided by the number of girls. So, the average marks of the girls is 1950 / 30 = 65.
So, the average marks of the girls is 65.
Similar Questions
In a class, the average score of girls in an examination is 80, and the average score of boys is 90. If the average score of the whole class is 87, find the percentage of boys in the class.
The average marks obtained by 100 candidates in an examination is 50.Find how many candidates have passed in the examination,if the average marks of candidates who passed is 70 and that of failed candidates is 20.90756058
The average mark obtained by 40 students is 56. If the average marks of 8 students who failed the examination are 10, what are the average marks of students who passed the examination?
The average score of girls in a class 'X' examination in a school is 73 and that of boys is 71.The average score is class X of that school is 71.8.Find the percentage of the number of girls and boys in a class x of the school:40% and 60%30% and 60%20% and 40%40% and 80%
The average marks of 50 students in a class was found to be 64 . If the marks of two students were incorrectly entered as 38 and 42 instead of 83 and 24 , respectively, then what is the correct average?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.