A team of biologists tagged 35 seals off the coast of an island. Later they captured a sample of seals from the same area and found that 14% of them had tags. Use this information to estimate the total number of seals in the area.
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250
35 seals were tagged, so after they were left, we assume that they were equally distributed among untagged seals.
When a sample of seals were taken, it was found that 14% were tagged. Let us consider this sample had x seals.
Therefore, x*14/100 were the number of seals tagged. Let us assume that there are n such samples that make up all the seals.
Hence the total number of seals are n*x.
As the distribution of tagged seals remain same throught out,
n*x*(14/100) = 35
Therefore n*x = 250
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