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Prof. Suman takes a number of quizzes for a course. All the quizzes are out of 100. A student can get an A grade in the course if the average of her scores is more than or equal to 90.Grade B is awarded to a student if the average of her scores is between 87 and 89 (both included). If the average is below 87, the student gets a C grade. Ramesh is preparing for the last quiz and he realizes that he will score a minimum of 97 to get an A grade. After the quiz, he realizes that he will score 70, and he will just manage a B. How many quizzes did Prof. Suman take?
Grade A $$\geq$$ 90 and Grade B = 87 to 89
If Ramesh scores 70 instead of 97, => Change of marks = 97 - 70 = 27
It creates a change from grade A to B, this means an overall change in average by
= Minimum marks for grade A - Minimum marks for Grade B = 90 - 87 = 3
$$\therefore$$ Number of subjects = $$\frac{27}{3} = 9$$
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