# 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

Let x be the marks obtained by Atul in the fifth examination,then
$\frac{87+92+94+95+x}{5}\geq 90$
$\Rightarrow \frac{368+x}{5}\geq 90$
$\Rightarrow 368+x\geq 450$
$\Rightarrow x\geq 450-368$
$\Rightarrow x\geq 82$
Hence Atul must obtain a minimum of 82 marks in the fifth examination to get grade A in the course.

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