he US Forest Service requires a report of deer population in US National Parks. Teams use a method called "Capture-Recapture" to estimate wildlife populations. To estimate the population over a wide area, samples are taken in which a number of deer are captured, tagged, and released back into the environment to mingle with the rest of the herd. Later, a larger sample of deer are captured, some of which are tagged and some are not. Parks officials use the ratio of tagged to untagged deer in the sample to project the population for the entire herd.

Nick and his team initially collected, tagged, and released 25 deer. Several days later, the teams returned to the area and captured 47 deer, of which 10 were tagged.
Find the estimated number of deer in this population (to the nearest whole number) if we presume that this sample ratio is typical for the entire herd.