In a scout camp, there is food provision for \(300\) cadets for \(42\) days. If \(50\) more persons join the camp, for how many days will the provision last?

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In a scout camp, there is food provision for \(300\) cadets for \(42\) days. If \(50\) more persons join the camp, for how many days will the provision last?

More the persons, the sooner would be the food provision exhausted. So, this is this case number of persons are inversely proportional to the food provision.

Let the provision last for \(x\) days.

\(\because\) Total food provision \(=\)Number of cadets \(\times \) Number of days.

We know that provision is same.

So, \(300\times 42=(300+50)\times x\)

\(300\times 42=350\times x\)

\(\frac {300\times 42}{350}=x\)

\(x=36\)days

Hence, number of days for which the provision will last when \(50\) more persons join are \(36\)days.

Let the provision last for \(x\) days.

\(\because\) Total food provision \(=\)Number of cadets \(\times \) Number of days.

We know that provision is same.

So, \(300\times 42=(300+50)\times x\)

\(300\times 42=350\times x\)

\(\frac {300\times 42}{350}=x\)

\(x=36\)days

Hence, number of days for which the provision will last when \(50\) more persons join are \(36\)days.

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