Pigeon AMC 8 Problem 2

Algebra Level pending

A recent study in Pigeonville shows that, on average, 3 3 baby pigeons are born every hour, and 1 1 dies every 4 4 hours. Currently, the Pigeonville has 1100 1100 inhabitants. On average, in how many days will the number of inhabitants reach 1694 1694 ?


The answer is 9.

Pigeon Mathlete by Pigeon Mathlete , 15, USA

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1 solution

Increase in the number of pigeons in a day is 24 × ( 3 − 1 4 ) = 66 24\times (3-\dfrac 14)=66

Total increase in the number is 1694 − 1100 = 594 1694-1100=594

Hence the required number of days is

594 66 = 9 \dfrac {594}{66}=\boxed 9 .

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