Question

some students planned a picnic the budget for food was rupees 500 but five of them failed to go and thus the cost of food for each member increased by rupees 5 how many students attend the picnic?

Answer 1

$\huge{hey}$


$\huge{ \mathfrak{here \: is \: answer}}$

let the number of students who planned the picnic were x.

hence, cost of. food for each member= ₹
$\frac{500}{x - 5}$

but the number of. students who. actually attend =(x-5)

hence, actual cost of food=₹
$\frac{500}{x - 5}$
according to. question

$\sf{ \frac{500}{x - 5} - \frac{500}{x} = 5}$


500x-500(x-5)=5x(x-5)

=> 2500=5x2-25x. (divide both side by 25)

$\sf{ {x}^{2} - 25x - 500 = 0}$


$\sf{ {x}^{2} - 25x + 20x - 500 = 0}$


$\sf{x(x - 25) + 20(x - 25) = 0}$


$\sf{(x + 20)(x - 25) = 0}$

hence

$\bf{x = 25 \: and \: x = - 20}$
(-20 will rejected..).

hence x=25


no of students who. planned picnic = 25

and who attend = 25-5=20


$\huge \boxed{ \ulcorner{hope \: it \: helps}}$

$\huge{ \mathfrak{THANKS}}$

Answer 2

Answer:

20...

Step by step explanation...

Let there were x students, then contribution of one student = 500x500x

Contribution of each student when 5 of them have left = 5000x−55000x−5

Given, 500x−5−500x500x−5−500x = 5

= 5

using options, we find x = 25 satisfies the equation.

Therefore, number of students who attended the picnic = (25 - 5) = 20...

hope it helps..