Question

a garrison of 900men had provisions for 24 days . If 15 men leave the hostel,for how many days would the food provision last ?​

Answer 1

Answer:

23 day's.

Step-by-step explanation:

Given :

A garrison of 900men had provision of 24 days.

If 15men leaves, Find how many days the food provision will last?

Step 1 : 15 men left the Garrison :

Now, the number of men left is

→ 900 - 15 = 885men.

Here, if people leaves the provision will last for more for days.

Step 2 : Do a proportion analysis :

Let's asssume the food provision will last for $x$ day's for 885men.

For 900 men 24 days provision and for 885 men $x$ days food provision

It is inversely proportional :

$\implies 900 : 24 : : 885 : x$

$\implies \frac{900}{24} = \frac{885}{x}$

$\implies x = \frac{885 \times 24}{900}$

$\implies \boldsymbol{ x = 23.6}$

$\sf \therefore Number \: of \: days \: provision \: will \: last \: \approx 23days(approx.)$

Answer 2

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a garrison of 900men had provisions for 24 days . If 15 men leave the hostel,for how many days would the food provision last ?

$\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}$

23 days.

Step-by-step explanation:

Given:

a garrison of 900men had provisions for 24 days .

$\huge\red{\mid{\underline{\overline{\textbf{Solution\:࿐}}}\mid}}$

Now, the number of men left is

➪ 900 - 15 = 885men.

Here, if people leaves the provision will last for more for days.

● Let's asssume the food provision will last For 900 men 24 days provision and for 885 men .

It is inversely proportional :

= 900:24 :: 885:x

$➪ \: \frac{900}{24} = \frac{885}{x}$

$➪ \: x = \frac{885 \times 24}{900}$

$x = 23.6$

no' of days provision wíll last = 2

$\sf\red{hope\:it\:helps\:you}$