Question

In a garrison of 10 soldiers, there was enough food to last for 28 days. After 6 days some more soldiers joined the garrison such that the food lasted for only 10 days. Find the number of soldiers that joined the garrison after 6 days.

• A. 8
• B. 12
• C. 6
• D. 14

Answer 1

Answer:

B. 12

Total amount of food in garrison = (Food consumed by 10 soldiers in 6 days) + {Food consumed by (10 + x) soldiers in 10 days} 10 × 28 = 10 × 6 + (10 + x) × 10 280 = 60 + 100 + 10x 10x = 280 - 160 x = 120/10 x = 12