A store has provision which would last for a certain number of men for...
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- Let’s assume the original number of men is M.
- The provisions last for 21 days for M men.
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Calculate Total Provisions:
- Total provisions can be represented as:
- Total Provisions = Number of Men × Number of Days
- So, Total Provisions = M × 21
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Determine the New Scenario:
- Now, only one-seventh of the original number of men will be consuming the provisions.
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Set Up the Equation for the New Scenario:
- Let’s denote the number of days the provisions will last in the new scenario as D.
- Using the proportionality:
- New Number of Men × New Number of Days = Total Provisions
- So, (M/7) × D = M × 21
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Simplify the Equation:
- Divide both sides of the equation by M to eliminate M:
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Solve for D:
- Multiply both sides by 7:
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A store has provision which would last for a certain number of men for...
To solve this problem, we can use the concept of proportions. Let's assume that the store has provisions for x men for 21 days.
We are asked to find how many days the provisions will last for one-seventh of the men. One-seventh of the men can be represented as (1/7) * x.
To find the number of days the provisions will last for one-seventh of the men, we need to set up a proportion:
x men / 21 days = (1/7) * x men / y days
where y is the number of days the provisions will last for one-seventh of the men.
To solve for y, we can cross multiply:
x * y = (1/7) * x * 21
Simplifying the equation:
y = (1/7) * 21
y = 3
Therefore, the provisions will last for 3 days for one-seventh of the men.
Hence, the correct answer is option A) 147.
A store has provision which would last for a certain number of men for...
Let certain number of men=x
So,
x number of men can have provision of 21 days
And
1 man can provision of 21x days
one seventh(x/7)men can have provision for 21x/x/7
=21*7=147(ans)
Hope this answer help you