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Customers are asked to stand in the lines. If one customer is extra in a line, then there would be two less lines. If one customer is less in line, there would be three more lines. Find the number of students in the class.       
  • a)
      40       
  • b)
      50       
  • c)
      60       
  • d)
      70
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Customers are asked to stand in the lines. If one customer is extra in...
5 customers in a Line
Total Number of customers = 60
Step-by-step explanation:
Customers are asked to stand in the lines. If one customer is extra in a line, then there would be two less lines. If one customer is less in line, there would be three more lines.
Let say There are  C customers in a Line  and total L number of lines
Total number of customers = ( customers in a line) * (number of Lines)
=>Total number of customers =  CL
If one customer is extra in a line, then there would be two less lines
=> Total number of customers = (C + 1)(L -2)
(C + 1)(L -2)  = CL
=> CL + L - 2C - 2 = CL
=> L - 2C  = 2   - eq 1
If one customer is less in line, there would be three more lines.
=> Total number of customers = (C - 1)(L +3)
(C - 1)(L +3) = CL
=> CL - L + 3C - 3 = CL
=> - L + 3C = 3    - eq 2
Adding eq 1 & eq 2
=> C = 5
L - 2(5) = 2
=> L = 12
5 customers in a Line
Total Number of customers =  CL = 5*12  = 60
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Customers are asked to stand in the lines. If one customer is extra in a line, then there would be two less lines. If one customer is less in line, there would be three more lines. Find the number of students in the class.a)40b)50c)60d)70Correct answer is option 'C'. Can you explain this answer?
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Customers are asked to stand in the lines. If one customer is extra in a line, then there would be two less lines. If one customer is less in line, there would be three more lines. Find the number of students in the class.a)40b)50c)60d)70Correct 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 Customers are asked to stand in the lines. If one customer is extra in a line, then there would be two less lines. If one customer is less in line, there would be three more lines. Find the number of students in the class.a)40b)50c)60d)70Correct 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 Customers are asked to stand in the lines. If one customer is extra in a line, then there would be two less lines. If one customer is less in line, there would be three more lines. Find the number of students in the class.a)40b)50c)60d)70Correct answer is option 'C'. Can you explain this answer?.
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