Let the number of soldiers transferred to another fort be x
After four days number of soldiers left in the fort = 1200 – x
And for remaining soldiers (1200 – x ) the food lasted for 32 more days
Time(days) |
24 |
32 |
No of soldiers |
1200 |
1200 - x |
24 x 1200 = 32(1200 - x)
32 x 1200 - 32x = 24 x 1200
38400 - 32x = 28800
- 32x = 28800 - 38400
- 32x = - 9600
x = \(\frac{9600}{32}\) = 300
Therefore 300 soldiers left for another fort.