Question

A group of students went out for lunch

Answer 1

number sof student of the group is 50

Step-by-step explanation:

let the number students be x

total bill is Rs 200

each student will pay =200/x

now 10 students do not have the money

so x - 10 students will pay the bill of Rs 200

according to the problem

$\frac{200}{x-10}$ = $\frac{200}{x}$ + 1

or, $\frac{200}{x-10}$ - $\frac{200}{x}$ = 1

or, 200 ( $\frac{1}{x-10}$ - $\frac{1}{x}$) = 1

or, 200($\frac{x-x+10}{x(x-10)}$) = 1

or, 200 X 10 = x(x-10)

or, $x^{2}$ - 10x - 2000 = 0

or, $x^{2}$ - 50x +40x - 2000 =0( using middle term factor)

or, (x - 50) (x+40) = 0

x = 50 ( x = -40 for number of students it is not possible)