Question

some students planned for yoga camp total budget for food was rupees 2000 due to some reason 5 students world would end the camp and thus the cost of food for each member increased by rupees 20 how many students attend the yoga camp and how much each student pay for the food what values of students are depicted in a question by their activity

Answer 1

20 is going to be your anwser the math proves it

Answer 2

Answer:

Number of students = 25

New budget = Rs. 80

Step-by-step explanation:

Let total number of students be x

Total budget = Rs. 2000

$\text{So, each student has to pay = }\frac{2000}{x}$

Now, 5 students misses for the picnic

So, total students = x - 5

$\text{So, New Budget = }\frac{2000}{x-5}$

Also, according to question the price is increased by 20

$\implies \frac{2000}{x-5}-\frac{2000}{x}=20\\\\\implies \frac{2000x-2000x+10000}{x(x-5)}=20\\\\\implies x(x-5)=500\\\\\implies x^2-5x-500=0\\\\\implies (x-25)(x+20)=0\\\\\implies x = 25\text{ or x = }-20$

Since, number of students cannot be negative, so x = -20 is rejected

Hence, x = 25

$\text{Hence, New Budget = }\frac{2000}{25 - 5}=\text{ Rs. }100$

Hence, Number of students = 25

New budget = Rs. 100