Question

some students planned a picnic the budget for the food was 2500. As five of them unable to join the picnic the cost of the food for each student increased by 25. Find how many students went for the picnic

Answer 1

Answer:

Thus 25 students planned the picnic

and 5 of then dropped

So students went for picnic=20

Step-by-step explanation:

Total students planned were =x

Food cost per students=2500/x

but students went for picnic=x-5

Now food copst per student=2500/x-5

as per given

2500/x-5  -2500/x=25

2500x-2500(x-5)=25x(x-5)

100x-100x+500=x²-5x

x²-5x-500=0

x²-25x+20x-500=0

x(x-25)+20(x-25)=0

(x-25)(x+20)=0

x=25 or -20

Neglecting -20

we get x=25

Thus 25 students planned the picnic

and 5 of then dropped

So studtes went for picnic=20