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In a military camp there is a food for 30 days for 50 soldiers. Assuming that average meal of every soldier is same. If 25 more soldiers join them then how many days this food will last.
- a)20 Days
- b)21 Days
- c)22 Days
- d)23 Days
Correct answer is option 'A'. Can you explain this answer?
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In a military camp there is a food for 30 days for 50 soldiers. Assumi...
Given:
- The food in the military camp is sufficient for 30 days for 50 soldiers.
- The average meal of every soldier is the same.
To Find:
- The number of days the food will last if 25 more soldiers join.
Solution:
1. Firstly, let's calculate the total amount of food available in the camp for the initial 50 soldiers.
- Since the food is sufficient for 30 days, we can assume that it is enough for 50 soldiers for 30 days.
Total food available = 30 days * 50 soldiers
2. Now, let's calculate the average amount of food consumed by each soldier per day.
- To find this, we divide the total food available by the number of days.
Average food consumed per soldier per day = (Total food available) / (Number of days)
3. Next, let's calculate the total amount of food consumed per day by the initial 50 soldiers.
- To find this, we multiply the average food consumed per soldier per day by the number of soldiers.
Total food consumed per day by 50 soldiers = (Average food consumed per soldier per day) * 50 soldiers
4. Now, let's calculate the total amount of food consumed per day by the additional 25 soldiers.
- Since the average meal of every soldier is the same, the additional 25 soldiers will consume the same amount of food as the initial 50 soldiers.
Total food consumed per day by additional 25 soldiers = (Average food consumed per soldier per day) * 25 soldiers
5. Finally, let's calculate the number of days the food will last with the additional 25 soldiers.
- To find this, we divide the total amount of food available by the total amount of food consumed per day by all soldiers.
Number of days the food will last = (Total food available) / (Total food consumed per day by all soldiers)
6. Comparing the calculations, we can conclude that the food will last for 20 days with the additional 25 soldiers.
Therefore, the correct answer is option A) 20 Days.
- The food in the military camp is sufficient for 30 days for 50 soldiers.
- The average meal of every soldier is the same.
To Find:
- The number of days the food will last if 25 more soldiers join.
Solution:
1. Firstly, let's calculate the total amount of food available in the camp for the initial 50 soldiers.
- Since the food is sufficient for 30 days, we can assume that it is enough for 50 soldiers for 30 days.
Total food available = 30 days * 50 soldiers
2. Now, let's calculate the average amount of food consumed by each soldier per day.
- To find this, we divide the total food available by the number of days.
Average food consumed per soldier per day = (Total food available) / (Number of days)
3. Next, let's calculate the total amount of food consumed per day by the initial 50 soldiers.
- To find this, we multiply the average food consumed per soldier per day by the number of soldiers.
Total food consumed per day by 50 soldiers = (Average food consumed per soldier per day) * 50 soldiers
4. Now, let's calculate the total amount of food consumed per day by the additional 25 soldiers.
- Since the average meal of every soldier is the same, the additional 25 soldiers will consume the same amount of food as the initial 50 soldiers.
Total food consumed per day by additional 25 soldiers = (Average food consumed per soldier per day) * 25 soldiers
5. Finally, let's calculate the number of days the food will last with the additional 25 soldiers.
- To find this, we divide the total amount of food available by the total amount of food consumed per day by all soldiers.
Number of days the food will last = (Total food available) / (Total food consumed per day by all soldiers)
6. Comparing the calculations, we can conclude that the food will last for 20 days with the additional 25 soldiers.
Therefore, the correct answer is option A) 20 Days.
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In a military camp there is a food for 30 days for 50 soldiers. Assuming that average meal of every soldier is same. If 25 more soldiers join them then how many days this food will last.a)20 Daysb)21 Daysc)22 Daysd)23 DaysCorrect answer is option 'A'. Can you explain this answer?
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