Question

In a hostel mass, 88 students have food sufficient for 20 days. If 8 students left the hostel, how long will the food last now.


please give me the correct answer!!

Answer 1

Answer:

22 days

Explanation:

Given,

In a hostel mess, 88 students have a food provison for 20 days.

8 students left the hostel.

Find how long the food lasts now.

Let's say the food will last for $x$ days.

Number of students left

= 88 - 8

= 80

We know that,

The less number of students the more provison lasts.

Hence, it's an inverse proportion.

$\therefore 88 \times 20 = 80 \times x$

Solving for $x$

$\implies \: 88 \times 20 = 80\times x$

$\implies \: \dfrac{88 \times 20}{80} = x$

$\implies \: x = 22 \:$

∴ The food now last for 22 days.

__________________________

Inverse proportion:

If the quantity $x$ increases then the quantity $y$ decreases,

Or,

If $x$ decreases then $y$ increases.

Thus, we call $\boldsymbol x$ is inversely proportion to $\boldsymbol y$

Answer 2

22 days

Explanation:

Given,

In a hostel mess, 88 students have a food provison for 20 days.

8 students left the hostel.

Find how long the food lasts now.

Let's say the food will last for $x$ days.

Number of students left

= 88 - 8

= 80

We know that,

The less number of students the more provison lasts.

Hence, it's an inverse proportion.

$\therefore 88 \times 20 = 80 \times x$

Solving for $x$

$\implies \: 88 \times 20 = 80\times x$

$\implies \: \dfrac{88 \times 20}{80} = x$

$\implies \: x = 22 \:$

∴ The food now last for 22 days.

__________________________

Inverse proportion:

If the quantity $x$ increases then the quantity $y$ decreases,

Or,

If $x$ decreases then $y$ increases.

Thus, we call $\boldsymbol x$ is inversely proportion to $\boldsymbol y$