Question

A few friends went to a restaurant and had to pay a bill of rupees 500 if two of them didn't pay their share then each of them had to pay rupees 12. 50 more to make up the deficit. How many friends were there?

Answer 1

The Answer is here
let the number of friends =x
x-2=500/12.50
x-2=40
x=40+2
x=42
totally 42 friends were went to the restaurant.

Answer 2

Answer:

10 will be the answer.

Step-by-step explanation:

let the total number of friends be x.

let the shared amount be y  

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

=> y = $\frac{500}{x}$_____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 from 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 friend can't be negative

so the total number of friends are 10

Hope, you have got it.

Regards,

Debasrita Sarkhel.