Question

a hotel has provisions for 500 people gor 30 days . if 125 more arrive after 5 days how many days would the provisions last ?.​

Answer 1

A n s w e r

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G i v e n

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• A hotel has provisions for 500 people for 30 days

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• 125 more arrived in the hotel after 5 days

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F i n d

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• Numbers of days the provision will last

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S o l u t i o n

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Let the food last for "x" more days after 125 people arrived

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Initial situation [ For initial 5 days]

$\underline{\bold{\texttt{Total provision :}}}$

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We can find the total provision by multiplying the total people by the number of days they are required

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• Total people = 500

• Days = 30

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Total provision = 500 × 30

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Total provision = 15000 ⚊⚊⚊⚊ ⓵

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$\underline{\bold{\texttt{Provision of initial 5 days :}}}$

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• Total people = 500

• Days = 5

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Provision of 5 days = 500 × 5

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Provision of 5 days = 2500 ⚊⚊⚊⚊ ⓶

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

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Equation ⓵ - ⓶

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➜ 15000 - 2500

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➨ 12500 ⚊⚊⚊⚊ ⓷

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Final state [ After 5 days ]

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• Total People = 500 + 125 = 625

• Days = x

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Given that 625 people will deal with the remaining provision

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From ⓷ we get the remaining provision as 12500

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So,

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➜ 625 × x = 12500

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➨ x = 20

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• Hence the provision will last for 20 more days after the joining of 125 more members

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∴ Total days the provision last is 20 + 5 = 25

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