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Read the following text and answer the following questions on the basis of the same:
A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.
Q. Represent the above equation in quadratic equation.
- a)3x2 + 2x + 85
- b)3x2 – 2x + 85
- c)3x2 + 2x – 85
- d)– 3x2 + 2x + 85
Correct answer is option 'C'. Can you explain this answer?
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3x2 + 2x – 85
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The Problem
A small scale industry produces a certain number of boxes of candles in a day. The number of boxes prepared by each worker on a particular day was 2 more than thrice the number of workers working in the industry. The total number of boxes produced in a particular day was 85.
Representation in Quadratic Equation
Let's assume the number of workers in the industry as 'x'.
According to the problem, the number of boxes prepared by each worker is 2 more than thrice the number of workers. So, we can represent this as:
Number of boxes prepared by each worker = 3x + 2
Since there are 'x' workers, the total number of boxes produced in a particular day can be calculated by multiplying the number of boxes prepared by each worker with the number of workers:
Total number of boxes produced = (3x + 2) * x
According to the problem, the total number of boxes produced in a particular day is 85. So, we can represent this as:
(3x + 2) * x = 85
Now, we have represented the given problem in a quadratic equation.
Simplification of the Quadratic Equation
To find the quadratic equation, we need to simplify the equation further.
Expanding the equation:
3x^2 + 2x = 85
Rearranging the terms:
3x^2 + 2x - 85 = 0
Now, we have obtained the quadratic equation in the standard form, where the coefficients of x^2, x, and the constant term are 3, 2, and -85 respectively.
Conclusion
The quadratic equation representing the given problem is 3x^2 + 2x - 85 = 0. Therefore, option 'C' is the correct answer.
A small scale industry produces a certain number of boxes of candles in a day. The number of boxes prepared by each worker on a particular day was 2 more than thrice the number of workers working in the industry. The total number of boxes produced in a particular day was 85.
Representation in Quadratic Equation
Let's assume the number of workers in the industry as 'x'.
According to the problem, the number of boxes prepared by each worker is 2 more than thrice the number of workers. So, we can represent this as:
Number of boxes prepared by each worker = 3x + 2
Since there are 'x' workers, the total number of boxes produced in a particular day can be calculated by multiplying the number of boxes prepared by each worker with the number of workers:
Total number of boxes produced = (3x + 2) * x
According to the problem, the total number of boxes produced in a particular day is 85. So, we can represent this as:
(3x + 2) * x = 85
Now, we have represented the given problem in a quadratic equation.
Simplification of the Quadratic Equation
To find the quadratic equation, we need to simplify the equation further.
Expanding the equation:
3x^2 + 2x = 85
Rearranging the terms:
3x^2 + 2x - 85 = 0
Now, we have obtained the quadratic equation in the standard form, where the coefficients of x^2, x, and the constant term are 3, 2, and -85 respectively.
Conclusion
The quadratic equation representing the given problem is 3x^2 + 2x - 85 = 0. Therefore, option 'C' is the correct answer.
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Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. Represent the above equation in quadratic equation.a)3x2 + 2x + 85b)3x2 – 2x + 85c)3x2 + 2x – 85d)– 3x2 + 2x + 85Correct answer is option 'C'. Can you explain this answer?
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Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. Represent the above equation in quadratic equation.a)3x2 + 2x + 85b)3x2 – 2x + 85c)3x2 + 2x – 85d)– 3x2 + 2x + 85Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. Represent the above equation in quadratic equation.a)3x2 + 2x + 85b)3x2 – 2x + 85c)3x2 + 2x – 85d)– 3x2 + 2x + 85Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. Represent the above equation in quadratic equation.a)3x2 + 2x + 85b)3x2 – 2x + 85c)3x2 + 2x – 85d)– 3x2 + 2x + 85Correct answer is option 'C'. Can you explain this answer?.
Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. Represent the above equation in quadratic equation.a)3x2 + 2x + 85b)3x2 – 2x + 85c)3x2 + 2x – 85d)– 3x2 + 2x + 85Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. Represent the above equation in quadratic equation.a)3x2 + 2x + 85b)3x2 – 2x + 85c)3x2 + 2x – 85d)– 3x2 + 2x + 85Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. Represent the above equation in quadratic equation.a)3x2 + 2x + 85b)3x2 – 2x + 85c)3x2 + 2x – 85d)– 3x2 + 2x + 85Correct answer is option 'C'. Can you explain this answer?.
Solutions for Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. Represent the above equation in quadratic equation.a)3x2 + 2x + 85b)3x2 – 2x + 85c)3x2 + 2x – 85d)– 3x2 + 2x + 85Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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