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trapecia [35]
3 years ago
12

PLZZ anyone....l will give BRAINLIEST...​

Mathematics
2 answers:
natita [175]3 years ago
5 0

Answer:

  • 25 members

Step-by-step explanation:

Initial number of members:  x

Sum of money:  K£ 100

Each had to pay:  100/x

<u>Five members less, each paid K£1 more, we get equation:</u>

  • 100/x + 1 = 100/(x - 5)

<u>Multiply all terms by x(x - 5) and solve the quadratic equation:</u>

  • 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.

tankabanditka [31]3 years ago
4 0

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)

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