To receive grade 'A' in a course, one must obtain an average of 90 marks or more in five papers each of 100 marks.If Shikha scored 87,95,92 and 94 marks in first four papers, find the minimum marks that she must score in the last paper to get grade 'A' in the course.

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Solution

Suppose Shikha scores x marks in the fifth paper.Then,

$90 \leq \frac{87 + 97 + 92 + 94 + x}{5} \Rightarrow 90 \times 5 \leq 182 + 186 + x \Rightarrow 450 \leq 368 + x \Rightarrow 450 - 368 \leq x \Rightarrow 82 \leq x$

Hence, the minimum marks is required in the last paper is 82.

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To receive grade 'A' in a course, one must obtain an average of 90 marks or more in five papers each of 100 marks.If Shikha scored 87,95,92 and 94 marks in first four papers, find the minimum marks that she must score in the last paper to get grade 'A' in the course.

Suppose Shikha scores x marks in the fifth paper.Then, 90≤87+97+92+94+x5⇒90×5≤182+186+x⇒450≤368+x⇒450−368≤x⇒82≤x Hence, the minimum marks is required in the last paper is 82.

Suppose Shikha scores x marks in the fifth paper.Then,

$90 \leq \frac{87 + 97 + 92 + 94 + x}{5} \Rightarrow 90 \times 5 \leq 182 + 186 + x \Rightarrow 450 \leq 368 + x \Rightarrow 450 - 368 \leq x \Rightarrow 82 \leq x$

Hence, the minimum marks is required in the last paper is 82.