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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
To receive Grade ‘A’ in a course, one must obtain an average of 90 marks or more in five examinations (each of 100 marks). If Sunita’s marks in first four examinations are 87, 92, 94 and 95, find minimum marks that Sunita must obtain in fifth examination to get grade ‘A’ in the course
Solution:
Let x be the marks obtained by Sunita in the fifth examination
In order to receive grade ‘A’ in the course, she must obtain an average of 90 marks or more in five examinations
Therefore,
(87 + 92 + 94 + 95 + x)/5 ≥ 90
⇒ (368 + x)/5 ≥ 90
⇒ 368 + x ≥ 450
⇒ x ≥ 450 - 368
⇒ x ≥ 82
Thus, Sunita must obtain a minimum of 82 marks in the fifth examination
NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 22
To receive Grade ‘A’ in a course, one must obtain an average of 90 marks or more in five examinations (each of 100 marks). If Sunita’s marks in first four examinations are 87, 92, 94 and 95, find minimum marks that Sunita must obtain in fifth examination to get grade ‘A’ in the course
Summary:
A linear inequation (87 + 92 + 94 + 95 + x)/5 ≥ 90 can be formed. We have found that Sunita must obtain a minimum of 82 marks in the fifth examination
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