Sampling: 60 ducks caught, tagged, returned to lake; then...

In a sample, 60 ducks are caught, tagged and returned to a lake. In a second sample of 100 ducks, 24 are found to have tags from the first sample. Estimate the number of ducks in the lake.

Would I be correct to say that an estimate for the population would be 250??

Thanks in advance for any help

By the way, here's why I think that:

second sample - 24/100 tagged

first sample - 60 ducks - 24/100 of population

Population = 60/24 * 100 = 250

It's usually done with ratios:

. . . . .tagged / total:

. . . . .first: 60 / (unknown)

. . . . .second: 24 / 100

Assuming the ratio to be (vaguely) constant:

. . . . .60 / (unknown) = 24 /100

. . . . .((60)(100)) / 24 = (unknown)

This gives the same answer you got.

Eliz.