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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. If the number of workers working in the industry is x. What was the number of boxes of candles prepared by each worker on that particular day?
- a)3 + 2x
- b)2 + 3x
- c)2(x + 3)
- d)2x – 3
Correct answer is option 'B'. Can you explain this answer?
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Read the following text and answer the following questions on the bas...
Let the workers are x, Number of boxes prepared by the workers
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= 2 + 3x
According to the question,
x(2 + 3x) = 85
⇒ 3x2 + 2x – 85 = 0
⇒ 3x2 + 17x – 15x – 85 = 0
⇒ x(3x + 17) – 5(3x + 17) = 0 ⇒
⇒ (3x + 17)(x – 5) = 0
⇒ x = 5
Most Upvoted Answer
Read the following text and answer the following questions on the bas...
To solve this question, we need to analyze the given information and apply the given conditions to find the solution.
Given:
- The number of boxes produced in a particular day was 85.
- Each worker produced 2 more boxes than thrice the number of workers in the industry.
Let's assume the number of workers in the industry is x.
To find the number of boxes prepared by each worker, we need to determine the number of boxes produced by each worker on that particular day.
Let's break down the problem step by step:
Step 1: Determine the total number of boxes produced
- The total number of boxes produced in a particular day is given as 85.
Step 2: Determine the number of workers
- The number of boxes prepared by each worker is 2 more than thrice the number of workers.
- So, the number of boxes prepared by each worker can be represented as 3x + 2.
Step 3: Determine the number of boxes prepared by each worker
- Since the total number of boxes produced is 85, and each worker prepared 3x + 2 boxes, we can set up the equation:
85 = (3x + 2) * x
Step 4: Solve the equation to find the value of x
- Simplifying the equation, we get:
85 = 3x^2 + 2x
3x^2 + 2x - 85 = 0
- We can solve this quadratic equation using factoring, completing the square, or the quadratic formula. After solving, we find that x = 5 or x = -5/3.
Step 5: Determine the number of boxes prepared by each worker
- Since the number of workers cannot be negative or a fraction, we discard the value x = -5/3.
- Therefore, the number of workers is x = 5.
- Substituting the value of x in the expression for the number of boxes prepared by each worker, we get:
Number of boxes prepared by each worker = 3x + 2 = 3(5) + 2 = 15 + 2 = 17
Hence, the number of boxes of candles prepared by each worker on that particular day is 17.
Therefore, the correct answer is option 'B': 2 * 3x = 2 * 3 * 5 = 17.
Given:
- The number of boxes produced in a particular day was 85.
- Each worker produced 2 more boxes than thrice the number of workers in the industry.
Let's assume the number of workers in the industry is x.
To find the number of boxes prepared by each worker, we need to determine the number of boxes produced by each worker on that particular day.
Let's break down the problem step by step:
Step 1: Determine the total number of boxes produced
- The total number of boxes produced in a particular day is given as 85.
Step 2: Determine the number of workers
- The number of boxes prepared by each worker is 2 more than thrice the number of workers.
- So, the number of boxes prepared by each worker can be represented as 3x + 2.
Step 3: Determine the number of boxes prepared by each worker
- Since the total number of boxes produced is 85, and each worker prepared 3x + 2 boxes, we can set up the equation:
85 = (3x + 2) * x
Step 4: Solve the equation to find the value of x
- Simplifying the equation, we get:
85 = 3x^2 + 2x
3x^2 + 2x - 85 = 0
- We can solve this quadratic equation using factoring, completing the square, or the quadratic formula. After solving, we find that x = 5 or x = -5/3.
Step 5: Determine the number of boxes prepared by each worker
- Since the number of workers cannot be negative or a fraction, we discard the value x = -5/3.
- Therefore, the number of workers is x = 5.
- Substituting the value of x in the expression for the number of boxes prepared by each worker, we get:
Number of boxes prepared by each worker = 3x + 2 = 3(5) + 2 = 15 + 2 = 17
Hence, the number of boxes of candles prepared by each worker on that particular day is 17.
Therefore, the correct answer is option 'B': 2 * 3x = 2 * 3 * 5 = 17.
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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. If the number of workers working in the industry is x. What was the number of boxes of candles prepared by each worker on that particular day?a)3 + 2xb)2 + 3xc)2(x + 3)d)2x – 3Correct answer is option 'B'. 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. If the number of workers working in the industry is x. What was the number of boxes of candles prepared by each worker on that particular day?a)3 + 2xb)2 + 3xc)2(x + 3)d)2x – 3Correct answer is option 'B'. 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. If the number of workers working in the industry is x. What was the number of boxes of candles prepared by each worker on that particular day?a)3 + 2xb)2 + 3xc)2(x + 3)d)2x – 3Correct answer is option 'B'. 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. If the number of workers working in the industry is x. What was the number of boxes of candles prepared by each worker on that particular day?a)3 + 2xb)2 + 3xc)2(x + 3)d)2x – 3Correct answer is option 'B'. 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. If the number of workers working in the industry is x. What was the number of boxes of candles prepared by each worker on that particular day?a)3 + 2xb)2 + 3xc)2(x + 3)d)2x – 3Correct answer is option 'B'. 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. If the number of workers working in the industry is x. What was the number of boxes of candles prepared by each worker on that particular day?a)3 + 2xb)2 + 3xc)2(x + 3)d)2x – 3Correct answer is option 'B'. 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. If the number of workers working in the industry is x. What was the number of boxes of candles prepared by each worker on that particular day?a)3 + 2xb)2 + 3xc)2(x + 3)d)2x – 3Correct answer is option 'B'. 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. If the number of workers working in the industry is x. What was the number of boxes of candles prepared by each worker on that particular day?a)3 + 2xb)2 + 3xc)2(x + 3)d)2x – 3Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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