Question
Half the students of a class are dancing and three-fourths of the remaining are playing cricket. If the remaining 9 students are studying in the library, then find the total number of students in the class.
Answer: Option A
:
A
Let the total number of students be x
According to the question,
Numberof students dancing=x2
Numberof students remaining =x−x2
=x2
Students playing cricket
=(34)(x2)
=3x8
Remaining students =9
⇒(x−x2)−3x8=9⇒x8=9⇒x=8×9⇒x=72
Hence, the total number of students in theclass = 72
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:
A
Let the total number of students be x
According to the question,
Numberof students dancing=x2
Numberof students remaining =x−x2
=x2
Students playing cricket
=(34)(x2)
=3x8
Remaining students =9
⇒(x−x2)−3x8=9⇒x8=9⇒x=8×9⇒x=72
Hence, the total number of students in theclass = 72
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