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LINEAR INEQUALITIES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLINEAR INEQUALITIES3 Marks
Question
Ravi obtained 70 and 75 marks in first two unit tests. Find the minimum marks he should get in the third test to have an average of at least 60 marks.
✓

Answer

Let the marks obtained by Ravi in third test be x.
Then average of three tests $ = \frac{{70 + 75 + x}}{3}$
Now $\frac{{70 + 75 + x}}{3} \geqslant 60$ $ \Rightarrow \frac{{145 + x}}{3} \geqslant 60$
Multiplying both sides by 3, we have
$145 + x \geqslant 180$
$ \Rightarrow x \geqslant 180 - 145 \Rightarrow x \geqslant 35$
Thus the minimum marks needed to be obtained by Ravi = 35.

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