Respuesta :

Step-by-step explanation:

x= how many members are in the group

x= 100/x

x= 100/(x-5)

x(x-5)=100

x^2-5x=100

x^2-5x-100=0

and then use the quadratic formula (i can't type it srry)

Ver imagen hanaLolz

Answer:

  • 25 members

Step-by-step explanation:

Initial number of members:  x

Sum of money:  K£ 100

Each had to pay:  100/x

Five members less, each paid K£1 more, we get equation:

  • 100/x + 1 = 100/(x - 5)

Multiply all terms by x(x - 5) and solve the quadratic equation:

  • 100(x - 5) + x(x - 5) = 100x
  • 100x - 500 + x² - 5x - 100x = 0
  • x² - 5x - 500 = 0
  • x = (5 + √(5² + 4*500))/2
  • x = (5 + √2025)/2
  • x = (5 + 45)/2
  • x = 25

The second root is ignored as negative.

ACCESS MORE