Question

In a boarding house of 80 boys there is food provisions for 30 days If 20 more boys join together

Answer 1

We will use indirect variation to solve this question.

First we identify the independent and the dependent variable.

Dependent variable = the number of days the provision will take.

The independent variable =the total number of boys.

Therefore the total number of boys varies inversely with the no. of days the provision will last.

Inverse relationship formulae is:

Y=k/x where you is the independent variable, x is the dependent variable and keeping is a constant.

In this case doing our substitution we get:

80=k/30

K=80×30=2400

When 20 more boys join we have:80+20=100boys.

Using the inverse formula we get :

100=2400/x

100x=2400
X=2400/100=24

The food will last for 24 days

This is 6 days less than when they were previously 80 boys.

Answer 2

Solution :-


∵ 80 boys have food provision for 30 days.

∴ 1 boy will have food provision for days = 30*80 = 2400 days

If 20 more boys join the boarding, then the number of boys = 80 + 20 

= 100 boys

Now, 100 boys will have food provision for = 2400/100 days

= 24 days

So, if 20 more boys join then the food provision will be for 24 days.

Answer.