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To receive grade A in a mathematics course,one must get an average of at least 90 marks in five examinations of 100 marks. If Atul has scored 87,92,94 and 95 in first four examinations,find the minimum marks that he should score in the fifth examination to get Grade A in his course

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Let x be the marks obtained by Atul in the fifth examination,then
frac87+92+94+95+x5geq 90
Rightarrow frac368+x5geq 90
Rightarrow 368+xgeq 450
Rightarrow xgeq 450-368
Rightarrow xgeq 82
Hence Atul must obtain a minimum of 82 marks in the fifth examination to get grade A in the course.

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Deependra Verma

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