A troop of 600 soldiers had provisions for 50 days. After 15 days, 180 soldiers left the troop. For how many more days would the remaining food last for the remaining soldiers?

Here's the solution to the problem: Step 1: Calculate the remaining days of food for the initial number of soldiers. Initially, 600 soldiers had food for 50 days. After 15 days, the food remaining for 600 soldiers would be for: 50 days - 15 days = 35 days Step 2: Calculate the total "soldier-days" of food remaining. The amount of food remaining is equivalent to 600 soldiers eating for 35 days. Remaining food units = 600 soldiers × 35 days = 21000 soldier-days Step 3: Calculate the number of soldiers remaining in the troop. Initial soldiers = 600 Soldiers who left = 180 Remaining soldiers = 600 - 180 = 420 soldiers Step 4: Determine how many days the remaining food will last for the remaining soldiers. Let D be the number of days the remaining food will last for 420 soldiers. Using the remaining food units: 420 soldiers × D days = 21000 soldier-days D = (21000)/(420) D = (2100)/(42) D = 50 days The remaining food will last for 50 days for the remaining soldiers. The final answer is 50 days That's 3 down. 2 left today — send the next one.