1500 soldiers in a Fort had provision for 48 days.After 13 days few soldiers join them and then the food last for 25 days. How many soldiers join
Answers
Answer:
600 extra soldiers joined.
I hope this helps.
Step-by-step explanation:
After 13 days, there was enough food for 1500 people for 48-13 = 35 days.
Multiplying the number of people by some factor, we need to divide the number of days by the same factor. E.g. double the number people means half the number of days. So...
# people × # days = constant .... (1)
Let n be the number of additional soldiers, so (#people) becomes 1500+n. Then equation (1) with the numbers with and without the extra men gives:
( 1500 + n ) × 25 = 1500 × 35
=> 1500 + n = 1500 × 35 / 25 = 2100
=> n = 2100 - 1500 = 600
Answer:
After 13 days 600 soldiers had joined.
Step-by-step explanation:
- If number of people increase then to complete the same work number of days will decrease. So they are inversely proportional.
The relation is like: Number of people ∝
Number of people =constant ×
Number of people × number of days = constant
- Solution: Initially number of soldiers = 1500, number of days = 48
We can write, 1500 × 48 = constant.........................(1)
After 13 days, suppose n soldiers joined. Then for 13 days there were 1500 soldiers and for next 25 days there were (1500 + n) soldiers.
So, we can write: (1500 × 13) + {(1500 + n) × 25} = constant ..............(2)
From (1) and (2), 1500 × 48 = (1500 × 13) + {(1500 + n) × 25}
{(1500 + n) × 25} = 1500 × (48 - 13)
(1500 + n) × 25 = 1500 × 35
1500 + n = 1500 × 35 ÷ 25
1500 + n = 2100
n = 2100 - 1500 = 600
∴ After 13 days 600 soldiers had joined.
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