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26 April, 23:31

A female cockroach can produce 80 offspring at a time. In half of the offspring produced by a certain female are female and each female produces 80 offspring, how many cockroaches are there in the third generation.

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  1. 27 April, 00:04
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    128000 cockroaches

    Explanation:

    If the a cockroach produces 80 offspring and 40 are female in the first generation.

    The second generation will therefore be:

    2nd generation = 40 x 80

    = 3200 cockroaches

    considering that half of the population are female, half of 3200 is 1600

    3rd generation = 1600 x 80

    = 128000 cockroaches

    Hence, the total number of cockroaches in the 3rd generation is 128,000
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