Question

completed.
20. 1600 soldiers in a camp had enough food for 30 days. After 8 days, some soldiers left the camp and thus the
food lasted for another 32 days. How many soldiers left the camp?​

Answer 1

Step-by-step explanation:

This is in inverse proportion.

So let no of soldiers be X and the no of days be Y

So,

$x1 \times y1 = x2 \times y2 \\ = > 1600 \times 30 = x2 \times 32 \\ = > x = \frac{48000}{32} \\ = > x = 1500$

Now, no of people left =

$1600 - 1500 = 100$

Om Namah Shivaya

Debasish Biswal

Answer 2

Answer:

$\sf\large\underline\red{Let:-}$

$\sf{\implies Number\:_{(left\: soldiers)}=x}$

$\sf\large\underline\red{Given:-}$

$\sf{\implies Number\:_{(soldiers\:in\:camp)}=1600}$

$\sf{\implies Food\: enough\:_{(for\: soldiers)}=30\:days}$

$\sf\large\underline\red{To\:Find:-}$

$\sf{\implies Number\:_{(left\: soldiers)}=?}$

$\sf\large\underline\red{Solution:-}$

To calculate the number of left soldiers in the camp , at first we have to focus on the given Question. As given in the question that 1600 soldiers had enough food for 30 days but after 8 says some soldiers left the camp and as some soldiers left the camp then the food enough for the soldiers for 32 days. It means here we have to decrease the days and number of soldiers and left soldiers so, the remaining days for the soldiers is 30-8=22days and the remaining soldiers is 1600-x. By setting up equation we can easily find the number of left soldiers from the camp.

$\sf{\implies Left\: soldiers*32\:days=Total\: soldiers*22days}$

$\tt{\implies (1600-x)*32=1600*22}$

$\tt{\implies 51200-32x=35200}$

$\tt{\implies -32x=35200-51200}$

$\tt{\implies -32x=-16000}$

$\tt{\implies 32x=16000}$

$\tt{\implies x=500}$

$\sf\large{Hence,}$

$\sf{\implies Number\:_{(left\: soldiers)}=500}$