Question

A camp is provided with provision for 70 soilders for 50 days How long will the food last, if 10 additional soilders join after 10 days
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Answer 1

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

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$\large\underline{\green{\bf Given :-}}$

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• A camp is provided with provision for 70 soilders for 50 days

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• 10 additional soilders join after 10 days

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$\large\underline{\red{\bf To \: Find :-}}$

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• How long the food will last

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$\large\underline{\orange{\bf Solution :-}}$

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$\underline{\bold{\texttt{Total food available for 70 soldiers :}}}$

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Number of soldiers × Number of days it lasts

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➜ 70 × 50

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➜ 3500 units ⚊⚊⚊⚊ ⓵

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• Hence the total food available is 3500 units

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$\underline{\bold{\texttt{Food consumed by 70 soldiers in 10 days :}}}$

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➜ 70 × 10

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➜ 700 units ⚊⚊⚊⚊ ⓶

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$\underline{\bold{\texttt{Remaining food :}}}$

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⟮ Equation ⓵ - ⓶ ⟯

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➜ 3500 - 700

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➜ 2800 units ⚊⚊⚊⚊ ⓷

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Given that 10 additional soilders join after 10 days

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New number of soldiers

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➜ 70 + 10

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➜ 80 ⚊⚊⚊⚊ ⓸

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• Let the remaining food is consumed in "x" days

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⟮ Equation ⓷ ÷ ⓸ ⟯

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➜ $\sf x = \dfrac { 2800 } { 80 }$

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➨ x = 35

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• Hence the food will last for 35 more days

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