Case Study Question 05

Mathematics

Chapter 4: Quadratic Equations

Class 10

An Auditorium was booked for School Annual Day Celebrations and the seats are arranged in a particular manner. The number of rows are equal to the number of seats in each row. When the number of rows was doubled and the number of seats in each row was reduced by 10, the total number of seats increased by 300.

Based on the above information answer the following questions:

Question.1.
If `x` is taken as number of row in original arrangement which quadratic equation describe the situation? How many number of rows are there in the original arrangement?

  • `ax^{2}-20x-300=0`
  • 30

Question.2.
How many seats are there in the auditorium in original arrangement? How many seats are there in the auditorium after re-arrangement?

  • 900
  • 1200

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