Question

In a Regiment the ratio of no. of soldiers was 3:31 before a battle . In the battle 6 officers and 22 soldiers were killed . the ratio between the no. of officers and soldiers now is 1:13 Find the no. of officers and soldiers in the regiment before the battle

Answer 1

The ratio of the number of officers to the number of soldiers was 3:31

Number of officers = 3x

Number of soldiers = 31x

Number of officers killed in the battle = 6

Number of soldiers killed in the battle = 22
(3x - 6):(31x - 22) = 1 : 13

(3 x - 6)/(31 x – 22) = 1/13

13 (3 x – 6) = 1 (31 x – 22)

39 x – 78 = 31 x – 22

39 x – 31 x = - 22 + 78

 8 x = 56

   x = 56/8

   x = 7

Number of officers before the battle = 3 (7) = 21

Number of soldiers before the battle = 31 (7) = 217

HOPE IT HELPS!!!

Answer 2

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