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.
Answers
Answer:
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
Step-by-step explanation:
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