1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were
sent to another fort and thus, the food lasted for 32 more days. How many soldiers
left the fort?
pls explain. I will mark brainliest
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1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were
sent to another fort and thus, the food lasted for 32 more days. How many soldiers
left the fort?
pls explain. I will mark brainliest
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Answer:-
Given:
To Find:
Solution:
Let the number of soldiers left be x
➥After 4 days,
For 1200 people food last for
= 28 - 4
= 24 days.
➥Number of persent soldiers be 1200 - x
For 1200-x people food lasts for 32 days
Here, inverse variation between soldiers and no. of days as here the no. of soldiers decrease and food last for more days.
So,
1200 × 24 = ( 1200 - x ) × 32
➨ 28800 = ( 1200 - x ) × 32
➨ 28800 ÷ 32 = 1200 - x
➨ 900 = 1200 - x
➨ x = 1200 - 900
➨ x = 300
x = No. of soldiers left
= 300.
No. of soldiers left are 300.