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A chess club charges a joining fee of rupees 200 plus rupees 50 for every match played. The following table shows the amount a player will have to pay as the number of matches varies.
The chess club charges a fixed joining fee of 200 rupees. In addition, the player must pay 50 rupees for every match played. If the number of matches played is represented by m, then the total amount paid can be written as 200 plus 50m. This is a linear polynomial because the highest power of the vaRead more
The chess club charges a fixed joining fee of 200 rupees. In addition, the player must pay 50 rupees for every match played. If the number of matches played is represented by m, then the total amount paid can be written as 200 plus 50m. This is a linear polynomial because the highest power of the variable m is 1. The amount paid increases regularly by 50 rupees whenever one more match is played.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/
See lessThe present age of Salil’s mother is three times Salil’s present age. After 5 years, their ages will add up to 70 years. Find their present ages.
Assume Salil’s present age is x years. Since his mother is three times his age, her present age is 3x years. After 5 years, Salil’s age will become x plus 5 and his mother’s age will become 3x plus 5. According to the question, their total age after 5 years will be 70 years. Therefore, x plus 5 plusRead more
Assume Salil’s present age is x years. Since his mother is three times his age, her present age is 3x years. After 5 years, Salil’s age will become x plus 5 and his mother’s age will become 3x plus 5. According to the question, their total age after 5 years will be 70 years. Therefore, x plus 5 plus 3x plus 5 equals 70. Solving gives x equal to 15. Hence, Salil is 15 years old and his mother is 45 years old.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/
See lessThe difference between two positive integers is 63. The ratio of the two integers is 2:5. Find the two integers.
Since the ratio of the two integers is 2:5, let the integers be 2x and 5x. The difference between the larger and smaller integer is 63. Therefore, we form the equation 5x minus 2x equals 63. This simplifies to 3x equals 63. Dividing both sides by 3, we get x equal to 21. Substituting the value of x,Read more
Since the ratio of the two integers is 2:5, let the integers be 2x and 5x. The difference between the larger and smaller integer is 63. Therefore, we form the equation 5x minus 2x equals 63. This simplifies to 3x equals 63. Dividing both sides by 3, we get x equal to 21. Substituting the value of x, the two integers become 2 multiplied by 21 and 5 multiplied by 21. Hence, the integers are 42 and 105.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/
See lessRuby has 3 times as many two-rupee coins as she has five rupee-coins. If she has a total rupees 88, how many coins does she have of each type?
Suppose Ruby has x five-rupee coins. Since she has three times as many two-rupee coins, the number of two-rupee coins becomes 3x. The total value of five-rupee coins is 5x rupees and the total value of two-rupee coins is 2 multiplied by 3x, which equals 6x rupees. Therefore, the total amount is 5x pRead more
Suppose Ruby has x five-rupee coins. Since she has three times as many two-rupee coins, the number of two-rupee coins becomes 3x. The total value of five-rupee coins is 5x rupees and the total value of two-rupee coins is 2 multiplied by 3x, which equals 6x rupees. Therefore, the total amount is 5x plus 6x equals 88. Solving gives 11x equals 88, so x equals 8. Hence, Ruby has 8 five-rupee coins and 24 two-rupee coins.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/
See lessA farmer cuts a 300 feet fence into two pieces of different sizes. The longer piece is four times as long as the shorter piece. How long are the two pieces?
Assume the shorter piece of the fence is x feet long. Since the longer piece is four times the shorter piece, its length becomes 4x feet. The total length of the fence is 300 feet, so we form the equation x plus 4x equals 300. This simplifies to 5x equals 300. Dividing both sides by 5 gives x equalRead more
Assume the shorter piece of the fence is x feet long. Since the longer piece is four times the shorter piece, its length becomes 4x feet. The total length of the fence is 300 feet, so we form the equation x plus 4x equals 300. This simplifies to 5x equals 300. Dividing both sides by 5 gives x equal to 60. Therefore, the shorter piece is 60 feet long and the longer piece is 240 feet long.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/
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