An island has 12 fur seal rookeries (breeding places). to estimate the fur seal pup population in rookery a, 6334 fur seal pups were tagged in early august. in late august, a sample of 1200 pups was observed, and 205 of these were found to have been previously tagged. use a proportion to estimate the total number of fur seal pups in rookery a.

37080

Step-by-step explanation:

To solve this problem we need to use proportions:

We don't know the total population in Rookery A but we know that 6334 of the total were tagged. Later, from a sample of 1200 pups, 205 were previously tagged.

The proportions we get are:

where p is the total population.

Now we will solve the proportion for p:

Therefore the total number of fur seal pups is 37077 ≈ 37080

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: