Question

A few friends went to a restaurant and had to pay a bill of 500 . if two of them didnt pay the share then each of them had to pay 12.50 more to make up the deficit.how many friends were there?

Answer 1

Answer:

let the total number of frnds be x.

let the shared amt. be y 

when there are x friends, share on each friend will be

=> y = 500/x                  ...........eq. (i)

when two frnds are not there then

=> (y + 12.5) = 500/(x - 2)

=> (y+12.5)(x-2) = 500

=>  xy - 2y + 12.5 x - 25 = 500

=>  xy - 2y + 12.5 x = 525

putting the value of y frm eq. (i)

=> x(500/x) - 2*(500/x) + 12.5 x = 525

=> 12.5x - 1000/x = 25

=> 12.5 x^2 - 1000 = 25x

=> x^2 - 80 = 2x

=> x^2 - 2x - 80

on solving it

=> x = 10 or -8

since no of frnd can't be negative

so the total number of frnds are 10

Answer 2

42 friends were there in total