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 Sunitas marks in first four examinations are 87,92,94 and 95, find minimum marks that Sunita must obtain in the fifth examination to get grade A in the course.

Question

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 Sunitas marks in first four examinations are 87,92,94 and 95, find minimum marks that Sunita must obtain in the fifth examination to get grade A in the course.

Filo · Accepted Answer

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,587+92+94+95+x​≥90⇒5368+x​≥90⇒368+x≥450⇒x≥450−368⇒x≥82 Thus sunita must obtain greater than or equal to 82 marks in the fifth examination.

Question Text	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 Sunitas marks in first four examinations are $87, 92, 94$ and $95$ , find minimum marks that Sunita must obtain in the fifth examination to get grade $A$ in the course.
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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 Sunitas marks in first four examinations are $87, 92, 94$ and $95$ , find minimum marks that Sunita must obtain in the fifth examination to get grade $A$ in the course.

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