Question

In a camp ,there is a enough food for 420 students for 50 days .if 500 students turn up fir the camp ,for how many days will the food stored be enough ?

Answer 1

Answer:

42 days

Step-by-step explanation:

420 students have food for=50 days

1 student will have food for= 50×420 days

=21000days

So food for 500 students will be=21000÷500

=42 days

Answer 2

The food stored will be enough for 42 days.

Explanation:

Given : In a camp ,there is a enough food for 420 students for 50 days .

Actual number of students came up = 500

Here there is inverse relationship between number of days and the students because as the number of persons increases the limit of days the food can be enough decreases.

Equation for inverse variation between x and y = $x_1y_1=x_2y_2$

Put $x_1=420,\ y_1=50$ and  $x_2=500,\ y_1=y$

$(420)(50)=500y\\\\\Rightarrow\ y=\dfrac{420\times50}{500}=42$

Therefore , the food stored will be enough for 42 days.

#Learn more :

In a school camp, there was enough food for

8 students for 30 days. If 12 more students

join, how many days will the food last?

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