Math, asked by vaibhavsl, 1 year ago

150 Men has provisions for 45 days after 10 days 25 men left the fort. how long would the food last as the same rate.

Answers

Answered by inhumandrowsey
3

Total men = 150

Provision for = 45 days

After 10 days 25 men left

Days remaining = 45 - 10 = 35

Men remaining = 150 - 25 = 125

Food will last for, let = x days

SO, 125 * x = 150 * 35

x = 5250/125

x = 42

The food will last for 42 days if there are 125 soldiers.


vaibhavsl: tq very much
inhumandrowsey: Your welcome :) , i hope you understood the solution properly.
vaibhavsl: yaa understood
vaibhavsl: tq
vaibhavsl: but i dint understand why did you multiply 150x35
inhumandrowsey: i multiplied 150x35 because that would be the total provision that we are comparing to 125x , if you will put the value of x and then multiply you will get LHS = RHS
vaibhavsl: ookay
inhumandrowsey: let me show, 150*35 = 125*42
5250 = 5250
here LHS = RHS
inhumandrowsey: And it is also difficult to make you understand everything here, so i am sorry if i wasnt of much help.
Answered by Anonymous
1

{\large{\bold{\rm{\underline{Given \; that}}}}}

✯ Fort had provisions for 150 men for 45 days

✯ After 10 days, 25 men left the fort.

{\large{\bold{\rm{\underline{To \; find}}}}}

✯ How long will the food last at the same rate?

{\large{\bold{\rm{\underline{Solution}}}}}

✯ How long will the food last at the same rate? 54

{\large{\bold{\rm{\underline{Full \; Solution}}}}}

~ The question is from a very interesting chapter of mathematics named, Propositions..! There are two types of proposition's namely, Direct and Inverse proportion..! Let's see this question is from which topic of proposition..!

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━

~ The number of people's increase, food will get over fast fast. If the number of people's decrease, food will over slowly slowly means it take a long time to be over..!

Henceforth, it is cleared that the question is from topic "Inverse proportion"..!

For 150 men for 45 days. after 10 days, 25 men left the fort, the food last at the same rate..!

↝ Remaining people' = 150-25

↝ Remaining people' = 125

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━

~ There are two method's to solve this inverse proportion let's solve it by easier method but intersting..!

Let the days be x

↝ 150 men : 45 days :: 125 men : x

↝ 150 × 45 = 125 × x

↝ 6750 = 125 × x

↝ 6750 = 125x

↝ 6750/125 = x

↝ 54 = x

↝ x = 54

Henceforth, the food last at the same be 54 days...!

{\large{\bold{\rm{\underline{Knowledge}}}}}

Addítíσnαl ínfσrmαtíσn, thє ínfσrmαtíσn ís rєlαtєd tσ thє tσpíc - "Prσpσrtíσn's" !

♛ Two quantities x and y are said to be in direct proportion if they increase (decrease) together in such a manner that the ratio of their corresponding values remains constant. That's if {\sf{\dfrac{x}{y} = k}} [ k is a positive number ], then x and y are said to vary directly. In such a case if {\sf{y_{1} \: , y_{2}}} are the values of y corresponding to the value {\sf{x_{1} \: , x_{2}}} of x respectively then, {\sf{\dfrac{x_{1}}{y_{1}} \: = \: \dfrac{x_{2}}{y_{2}}}}

♛ Two quantities x and y are said to be inverse proportion if an increase in x causes a proportional decrease in y (vice - versa !) in such a manner that the product of their corresponding values remains constant. That is if xy = k, then x and y are said to vary inversely. In this case if {\sf{y_{1} \: , y_{2}}} are the values of y corresponding to the values {\sf{x_{1} \: , x_{2}}} of x respectively then {\sf{x_{1} y_{1}}} = {\sf{x_{2} y_{2}}} or {\sf{\dfrac{x_{1}}{x_{2}} \: = \: \dfrac{y_{2}}{y_{1}}}}

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